100210121110120 has 32 divisors (see below), whose sum is σ = 257683168569600. Its totient is φ = 34357755809088.

The previous prime is 100210121110117. The next prime is 100210121110133. The reversal of 100210121110120 is 21011121012001.

It is a happy number.

100210121110120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100210121110120² (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 100210121110120.

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, 178946644560 + ... + 178946645119.

It is an arithmetic number, because the mean of its divisors is an integer number (8052599017800).

Almost surely, 2^{100210121110120} is an apocalyptic number.

100210121110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210121110120 is an abundant number, since it is smaller than the sum of its proper divisors (157473047459480).

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

100210121110120 is a wasteful number, since it uses less digits than its factorization.

100210121110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357893289697 (or 357893289693 counting only the distinct ones).

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

Adding to 100210121110120 its reverse (21011121012001), we get a palindrome (121221242122121).

The spelling of 100210121110120 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".