201122112100120 has 32 divisors (see below), whose sum is σ = 459943190791920. Its totient is φ = 79130011317120.

The previous prime is 201122112099967. The next prime is 201122112100127. The reversal of 201122112100120 is 21001211221102.

It is a super-2 number, since 2×201122112100120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201122112100094 and 201122112100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122112100127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41213545122 + ... + 41213550001.

Almost surely, 2^{201122112100120} is an apocalyptic number.

201122112100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122112100120 is an abundant number, since it is smaller than the sum of its proper divisors (258821078691800).

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

201122112100120 is a wasteful number, since it uses less digits than its factorization.

201122112100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82427095195 (or 82427095191 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201122112100120 its reverse (21001211221102), we get a palindrome (222123323321222).

The spelling of 201122112100120 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred thousand, one hundred twenty".