100011022122120 has 32 divisors (see below), whose sum is σ = 300033066366720. Its totient is φ = 26669605899200.

The previous prime is 100011022122103. The next prime is 100011022122127. The reversal of 100011022122120 is 21221220110001.

It is a super-3 number, since 3×100011022122120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 100011022122120.

It is not an unprimeable number, because it can be changed into a prime (100011022122127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416712592056 + ... + 416712592295.

It is an arithmetic number, because the mean of its divisors is an integer number (9376033323960).

Almost surely, 2^{100011022122120} is an apocalyptic number.

100011022122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011022122120 is an abundant number, since it is smaller than the sum of its proper divisors (200022044244600).

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

100011022122120 is a wasteful number, since it uses less digits than its factorization.

100011022122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833425184365 (or 833425184361 counting only the distinct ones).

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

Adding to 100011022122120 its reverse (21221220110001), we get a palindrome (121232242232121).

The spelling of 100011022122120 in words is "one hundred trillion, eleven billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".