100210200112120 has 32 divisors (see below), whose sum is σ = 257683371717600. Its totient is φ = 34357782895488.

The previous prime is 100210200111943. The next prime is 100210200112201. The reversal of 100210200112120 is 21211002012001.

It is a super-2 number, since 2×100210200112120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100210200112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178946785635 + ... + 178946786194.

It is an arithmetic number, because the mean of its divisors is an integer number (8052605366175).

Almost surely, 2^{100210200112120} is an apocalyptic number.

100210200112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210200112120 is an abundant number, since it is smaller than the sum of its proper divisors (157473171605480).

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

100210200112120 is a wasteful number, since it uses less digits than its factorization.

100210200112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357893571847 (or 357893571843 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100210200112120 its reverse (21211002012001), we get a palindrome (121421202124121).

The spelling of 100210200112120 in words is "one hundred trillion, two hundred ten billion, two hundred million, one hundred twelve thousand, one hundred twenty".