201122100122112 has 240 divisors, whose sum is σ = 652280511250368. Its totient is φ = 59193126051840.

The previous prime is 201122100122107. The next prime is 201122100122117. The reversal of 201122100122112 is 211221001221102.

201122100122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201122100122107) and next prime (201122100122117).

It is a super-2 number, since 2×201122100122112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201122100122117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71609314 + ... + 74364897.

Almost surely, 2^{201122100122112} is an apocalyptic number.

It is an amenable number.

201122100122112 is an abundant number, since it is smaller than the sum of its proper divisors (451158411128256).

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

201122100122112 is a wasteful number, since it uses less digits than its factorization.

201122100122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145974271 (or 145974252 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201122100122112 its reverse (211221001221102), we get a palindrome (412343101343214).

The spelling of 201122100122112 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".