100211211210120 has 64 divisors (see below), whose sum is σ = 300677892462720. Its totient is φ = 26719055537664.

The previous prime is 100211211210107. The next prime is 100211211210133. The reversal of 100211211210120 is 21012112112001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100211211210107) and next prime (100211211210133).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100211211210120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60652044 + ... + 62282363.

It is an arithmetic number, because the mean of its divisors is an integer number (4698092069730).

Almost surely, 2^{100211211210120} is an apocalyptic number.

100211211210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211211210120 is an abundant number, since it is smaller than the sum of its proper divisors (200466681252600).

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

100211211210120 is a wasteful number, since it uses less digits than its factorization.

100211211210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122941214 (or 122941210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100211211210120 its reverse (21012112112001), we get a palindrome (121223323322121).

The spelling of 100211211210120 in words is "one hundred trillion, two hundred eleven billion, two hundred eleven million, two hundred ten thousand, one hundred twenty".