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100021112112102 = 23231373527888323
BaseRepresentation
bin10110101111011111111010…
…110110111000001111100110
3111010010220222021110221112120
4112233133322312320033212
5101102221214200041402
6552421021540330410
730032200254136416
oct2657377266701746
9433126867427476
10100021112112102
1129962796273505
12b2749180a3a06
1343a6c4805257c
141a9b094aaa646
15b86ba2eb53bc
hex5af7fadb83e6

100021112112102 has 32 divisors (see below), whose sum is σ = 208891744466688. Its totient is φ = 31867562222496.

The previous prime is 100021112112043. The next prime is 100021112112113. The reversal of 100021112112102 is 201211211120001.

It is a happy number.

It is a super-4 number, since 4×1000211121121024 (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263754688 + ... + 264133635.

It is an arithmetic number, because the mean of its divisors is an integer number (6527867014584).

Almost surely, 2100021112112102 is an apocalyptic number.

100021112112102 is an abundant number, since it is smaller than the sum of its proper divisors (108870632354586).

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

100021112112102 is a wasteful number, since it uses less digits than its factorization.

100021112112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527889724.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100021112112102 its reverse (201211211120001), we get a palindrome (301232323232103).

The spelling of 100021112112102 in words is "one hundred trillion, twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 23 46 69 138 1373 2746 4119 8238 31579 63158 94737 189474 527888323 1055776646 1583664969 3167329938 12141431429 24282862858 36424294287 72848588574 724790667479 1449581334958 2174372002437 4348744004874 16670185352017 33340370704034 50010556056051 100021112112102