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120202121020100 = 225276110127871663
BaseRepresentation
bin11011010101001010111100…
…101110011000001011000100
3120202121012200111010201000212
4123111022330232120023010
5111223342420440120400
61103352031515454552
734214213420413220
oct3325127456301304
9522535614121025
10120202121020100
1135333484720189
1211593b87157458
13520c01bcb6512
142197b56b0d780
15dd6aedde5335
hex6d52bcb982c4

120202121020100 has 144 divisors (see below), whose sum is σ = 305988059844096. Its totient is φ = 40135193280000.

The previous prime is 120202121020057. The next prime is 120202121020103. The reversal of 120202121020100 is 1020121202021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (120202121020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9623132 + ... + 18248531.

Almost surely, 2120202121020100 is an apocalyptic number.

120202121020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202121020100 is an abundant number, since it is smaller than the sum of its proper divisors (185785938823996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120202121020100 is a wasteful number, since it uses less digits than its factorization.

120202121020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27871846 (or 27871839 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120202121020100 its reverse (1020121202021), we get a palindrome (121222242222121).

The spelling of 120202121020100 in words is "one hundred twenty trillion, two hundred two billion, one hundred twenty-one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 101 122 140 175 202 244 305 350 404 427 505 610 700 707 854 1010 1220 1414 1525 1708 2020 2135 2525 2828 3050 3535 4270 5050 6100 6161 7070 8540 10100 10675 12322 14140 17675 21350 24644 30805 35350 42700 43127 61610 70700 86254 123220 154025 172508 215635 308050 431270 616100 862540 1078175 2156350 4312700 27871663 55743326 111486652 139358315 195101641 278716630 390203282 557433260 696791575 780406564 975508205 1393583150 1700171443 1951016410 2787166300 2815037963 3400342886 3902032820 4877541025 5630075926 6800685772 8500857215 9755082050 11260151852 11901200101 14075189815 17001714430 19510164100 19705265741 23802400202 28150379630 34003428860 39410531482 42504286075 47604800404 56300759260 59506000505 70375949075 78821062964 85008572150 98526328705 119012001010 140751898150 170017144300 171717315743 197052657410 238024002020 281503796300 297530002525 343434631486 394105314820 492631643525 595060005050 686869262972 858586578715 985263287050 1190120010100 1202021210201 1717173157430 1970526574100 2404042420402 3434346314860 4292932893575 4808084840804 6010106051005 8585865787150 12020212102010 17171731574300 24040424204020 30050530255025 60101060510050 120202121020100