101122010012112 has 20 divisors (see below), whose sum is σ = 261231859198080. Its totient is φ = 33707336670688.

The previous prime is 101122010012083. The next prime is 101122010012113. The reversal of 101122010012112 is 211210010221101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101122010012091 and 101122010012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122010012113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1053354270912 + ... + 1053354271007.

It is an arithmetic number, because the mean of its divisors is an integer number (13061592959904).

Almost surely, 2^{101122010012112} is an apocalyptic number.

101122010012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122010012112 is an abundant number, since it is smaller than the sum of its proper divisors (160109849185968).

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

101122010012112 is a wasteful number, since it uses less digits than its factorization.

101122010012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106708541930 (or 2106708541924 counting only the distinct ones).

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

Adding to 101122010012112 its reverse (211210010221101), we get a palindrome (312332020233213).

The spelling of 101122010012112 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, twelve thousand, one hundred twelve".