112002101331129 has 16 divisors (see below), whose sum is σ = 165929438070400. Its totient is φ = 74667887976528.

The previous prime is 112002101331079. The next prime is 112002101331137. The reversal of 112002101331129 is 921133101200211.

112002101331129 is a `hidden beast` number, since 1 + 1 + 200 + 2 + 1 + 0 + 1 + 331 + 129 = 666.

It is not a de Polignac number, because 112002101331129 - 2³⁵ = 111967741592761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112002101331149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6967167 + ... + 16508955.

It is an arithmetic number, because the mean of its divisors is an integer number (10370589879400).

Almost surely, 2^{112002101331129} is an apocalyptic number.

It is an amenable number.

112002101331129 is a deficient number, since it is larger than the sum of its proper divisors (53927336739271).

112002101331129 is an equidigital number, since it uses as much as digits as its factorization.

112002101331129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9976541 (or 9976535 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 112002101331129 in words is "one hundred twelve trillion, two billion, one hundred one million, three hundred thirty-one thousand, one hundred twenty-nine".