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101221110202010 = 25232257370120117
BaseRepresentation
bin10111000000111101100000…
…010100010011111010011010
3111021101122101012121000100212
4113000331200110103322122
5101231401313202431020
6555140200332131122
730214661320455611
oct2700754024237232
9437348335530325
10101221110202010
112a2856a4975507
12b4293b5006aa2
13446315711ba36
141add1b0c58878
15ba7ed7924cc5
hex5c0f60513e9a

101221110202010 has 96 divisors (see below), whose sum is σ = 191266345790352. Its totient is φ = 38565043404800.

The previous prime is 101221110202001. The next prime is 101221110202019. The reversal of 101221110202010 is 10202011122101.

It is an interprime number because it is at equal distance from previous prime (101221110202001) and next prime (101221110202019).

It can be written as a sum of positive squares in 8 ways, for example, as 56091426915241 + 45129683286769 = 7489421^2 + 6717863^2 .

It is not an unprimeable number, because it can be changed into a prime (101221110202019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5031610472 + ... + 5031630588.

Almost surely, 2101221110202010 is an apocalyptic number.

101221110202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221110202010 is a deficient number, since it is larger than the sum of its proper divisors (90045235588342).

101221110202010 is a wasteful number, since it uses less digits than its factorization.

101221110202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24128 (or 24105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101221110202010 its reverse (10202011122101), we get a palindrome (111423121324111).

The spelling of 101221110202010 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred ten million, two hundred two thousand, ten".

Divisors: 1 2 5 10 23 46 115 230 257 514 529 1058 1285 2570 2645 3701 5290 5911 7402 11822 18505 20117 29555 37010 40234 59110 85123 100585 135953 170246 201170 271906 425615 462691 679765 851230 925382 951157 1359530 1902314 1957829 2313455 3915658 4626910 4755785 5170069 9511570 9789145 10340138 10641893 19578290 21283786 21876611 25850345 43753222 51700690 53209465 74453017 106418930 109383055 118911587 148906034 218766110 237823174 372265085 503162053 594557935 744530170 1006324106 1189115870 1712419391 2515810265 2734966501 3424838782 5031620530 5469933002 8562096955 13674832505 17124193910 19134425369 27349665010 38268850738 39385645993 78771291986 95672126845 191344253690 196928229965 393856459930 440091783487 880183566974 2200458917435 4400917834870 10122111020201 20244222040402 50610555101005 101221110202010