101012100112122 has 64 divisors (see below), whose sum is σ = 207066462511104. Its totient is φ = 32840774023680.

The previous prime is 101012100112109. The next prime is 101012100112127. The reversal of 101012100112122 is 221211001210101.

It is a happy number.

It is a super-2 number, since 2×101012100112122² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101012100112127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100615443 + ... + 101614425.

It is an arithmetic number, because the mean of its divisors is an integer number (3235413476736).

Almost surely, 2^{101012100112122} is an apocalyptic number.

101012100112122 is an abundant number, since it is smaller than the sum of its proper divisors (106054362398982).

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

101012100112122 is a wasteful number, since it uses less digits than its factorization.

101012100112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001603.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101012100112122 its reverse (221211001210101), we get a palindrome (322223101322223).

The spelling of 101012100112122 in words is "one hundred one trillion, twelve billion, one hundred million, one hundred twelve thousand, one hundred twenty-two".