101101122000112 has 40 divisors (see below), whose sum is σ = 223360284245616. Its totient is φ = 43917229464576.

The previous prime is 101101121999987. The next prime is 101101122000127. The reversal of 101101122000112 is 211000221101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101101122000092 and 101101122000101.

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, 14295969598 + ... + 14295976669.

Almost surely, 2^{101101122000112} is an apocalyptic number.

It is an amenable number.

101101122000112 is an abundant number, since it is smaller than the sum of its proper divisors (122259162245504).

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

101101122000112 is a wasteful number, since it uses less digits than its factorization.

101101122000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28591946305 (or 28591946299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101122000112 its reverse (211000221101101), we get a palindrome (312101343101213).

The spelling of 101101122000112 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, one hundred twelve", and thus it is an aban number.