100211210002120 has 64 divisors (see below), whose sum is σ = 257707007838720. Its totient is φ = 34355323908864.

The previous prime is 100211210002091. The next prime is 100211210002157. The reversal of 100211210002120 is 21200012112001.

It is a super-2 number, since 2×100211210002120² (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 100211210002120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11173632 + ... + 18035311.

It is an arithmetic number, because the mean of its divisors is an integer number (4026671997480).

Almost surely, 2^{100211210002120} is an apocalyptic number.

100211210002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211210002120 is an abundant number, since it is smaller than the sum of its proper divisors (157495797836600).

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

100211210002120 is a wasteful number, since it uses less digits than its factorization.

100211210002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29221214 (or 29221210 counting only the distinct ones).

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

Adding to 100211210002120 its reverse (21200012112001), we get a palindrome (121411222114121).

The spelling of 100211210002120 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, two thousand, one hundred twenty".