10010122122112 has 64 divisors (see below), whose sum is σ = 22793388710400. Its totient is φ = 4289584449024.

The previous prime is 10010122122097. The next prime is 10010122122157. The reversal of 10010122122112 is 21122122101001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7673533 + ... + 8882755.

It is an arithmetic number, because the mean of its divisors is an integer number (356146698600).

Almost surely, 2^{10010122122112} is an apocalyptic number.

It is an amenable number.

10010122122112 is an abundant number, since it is smaller than the sum of its proper divisors (12783266588288).

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

10010122122112 is an equidigital number, since it uses as much as digits as its factorization.

10010122122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218483 (or 1218471 counting only the distinct ones).

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

Adding to 10010122122112 its reverse (21122122101001), we get a palindrome (31132244223113).

The spelling of 10010122122112 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".