201000101122120 has 64 divisors (see below), whose sum is σ = 455647421804400. Its totient is φ = 79797257379840.

The previous prime is 201000101122111. The next prime is 201000101122241. The reversal of 201000101122120 is 21221101000102.

It can be written as a sum of positive squares in 8 ways, for example, as 587549844324 + 200412551277796 = 766518^2 + 14156714^2 .

It is a super-2 number, since 2×201000101122120² (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 201000101122120.

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, 12632125 + ... + 23697484.

Almost surely, 2^{201000101122120} is an apocalyptic number.

201000101122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000101122120 is an abundant number, since it is smaller than the sum of its proper divisors (254647320682280).

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

201000101122120 is a wasteful number, since it uses less digits than its factorization.

201000101122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36330658 (or 36330654 counting only the distinct ones).

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

Adding to 201000101122120 its reverse (21221101000102), we get a palindrome (222221202122222).

The spelling of 201000101122120 in words is "two hundred one trillion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".