101002122001332 has 72 divisors (see below), whose sum is σ = 270362322449856. Its totient is φ = 31683058792704.

The previous prime is 101002122001327. The next prime is 101002122001409. The reversal of 101002122001332 is 233100221200101.

101002122001332 is a `hidden beast` number, since 1 + 0 + 100 + 212 + 20 + 0 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5105638 + ... + 15102045.

It is an arithmetic number, because the mean of its divisors is an integer number (3755032256248).

Almost surely, 2^{101002122001332} is an apocalyptic number.

101002122001332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002122001332 is an abundant number, since it is smaller than the sum of its proper divisors (169360200448524).

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

101002122001332 is a wasteful number, since it uses less digits than its factorization.

101002122001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20215877 (or 20215872 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101002122001332 its reverse (233100221200101), we get a palindrome (334102343201433).

The spelling of 101002122001332 in words is "one hundred one trillion, two billion, one hundred twenty-two million, one thousand, three hundred thirty-two".