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10220102020100 = 2252728351590621
BaseRepresentation
bin1001010010111000110110…
…0011001110110000000100
31100012000212111000100211202
42110232031203032300010
52314421232104120400
633423014451122032
72103243440553020
oct224561543166004
940160774010752
1010220102020100
113290359175475
1211908835a3318
135919a002243b
14274926c91380
1512acad0864d5
hex94b8d8cec04

10220102020100 has 72 divisors (see below), whose sum is σ = 25435414820928. Its totient is φ = 3491653161600.

The previous prime is 10220102020081. The next prime is 10220102020103. The reversal of 10220102020100 is 102020102201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10220102020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25597211 + ... + 25993410.

Almost surely, 210220102020100 is an apocalyptic number.

10220102020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220102020100 is an abundant number, since it is smaller than the sum of its proper divisors (15215312800828).

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

10220102020100 is a wasteful number, since it uses less digits than its factorization.

10220102020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51590925 (or 51590918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10220102020100 its reverse (102020102201), we get a palindrome (10322122122301).

The spelling of 10220102020100 in words is "ten trillion, two hundred twenty billion, one hundred two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 283 350 566 700 1132 1415 1981 2830 3962 5660 7075 7924 9905 14150 19810 28300 39620 49525 99050 198100 51590621 103181242 206362484 257953105 361134347 515906210 722268694 1031812420 1289765525 1444537388 1805671735 2579531050 3611343470 5159062100 7222686940 9028358675 14600145743 18056717350 29200291486 36113434700 58400582972 73000728715 102201020201 146001457430 204402040402 292002914860 365003643575 408804080804 511005101005 730007287150 1022010202010 1460014574300 2044020404020 2555025505025 5110051010050 10220102020100