100212022110120 has 128 divisors (see below), whose sum is σ = 310337799552000. Its totient is φ = 25860850698240.

The previous prime is 100212022110107. The next prime is 100212022110127. The reversal of 100212022110120 is 21011220212001.

It is a super-3 number, since 3×100212022110120³ (a number of 43 digits) contains 333 as substring.

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 100212022110120.

It is not an unprimeable number, because it can be changed into a prime (100212022110127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560101636 + ... + 560280524.

It is an arithmetic number, because the mean of its divisors is an integer number (2424514059000).

Almost surely, 2^{100212022110120} is an apocalyptic number.

100212022110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212022110120 is an abundant number, since it is smaller than the sum of its proper divisors (210125777441880).

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

100212022110120 is a wasteful number, since it uses less digits than its factorization.

100212022110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329523 (or 329519 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100212022110120 its reverse (21011220212001), we get a palindrome (121223242322121).

The spelling of 100212022110120 in words is "one hundred trillion, two hundred twelve billion, twenty-two million, one hundred ten thousand, one hundred twenty".