100010210102120 has 32 divisors (see below), whose sum is σ = 234806580241920. Its totient is φ = 38264776038720.

The previous prime is 100010210102107. The next prime is 100010210102141. The reversal of 100010210102120 is 21201012010001.

It is a super-3 number, since 3×100010210102120³ (a number of 43 digits) contains 333 as substring.

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, 54353374136 + ... + 54353375975.

It is an arithmetic number, because the mean of its divisors is an integer number (7337705632560).

Almost surely, 2^{100010210102120} is an apocalyptic number.

100010210102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010210102120 is an abundant number, since it is smaller than the sum of its proper divisors (134796370139800).

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

100010210102120 is a wasteful number, since it uses less digits than its factorization.

100010210102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108706750145 (or 108706750141 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010210102120 its reverse (21201012010001), we get a palindrome (121211222112121).

The spelling of 100010210102120 in words is "one hundred trillion, ten billion, two hundred ten million, one hundred two thousand, one hundred twenty".