100210101112120 has 16 divisors (see below), whose sum is σ = 225472727502360. Its totient is φ = 40084040444832.

The previous prime is 100210101112073. The next prime is 100210101112181. The reversal of 100210101112120 is 21211101012001.

It is a happy number.

It is a super-3 number, since 3×100210101112120³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100210101112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1252626263862 + ... + 1252626263941.

Almost surely, 2^{100210101112120} is an apocalyptic number.

100210101112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210101112120 is an abundant number, since it is smaller than the sum of its proper divisors (125262626390240).

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

100210101112120 is a wasteful number, since it uses less digits than its factorization.

100210101112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505252527814 (or 2505252527810 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100210101112120 its reverse (21211101012001), we get a palindrome (121421202124121).

The spelling of 100210101112120 in words is "one hundred trillion, two hundred ten billion, one hundred one million, one hundred twelve thousand, one hundred twenty".