101002133122 has 16 divisors (see below), whose sum is σ = 165287210400. Its totient is φ = 45907007040.

The previous prime is 101002133077. The next prime is 101002133147. The reversal of 101002133122 is 221331200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002133096 and 101002133105.

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, 204154 + ... + 493642.

It is an arithmetic number, because the mean of its divisors is an integer number (10330450650).

Almost surely, 2^101002133122 is an apocalyptic number.

101002133122 is a deficient number, since it is larger than the sum of its proper divisors (64285077278).

101002133122 is a wasteful number, since it uses less digits than its factorization.

101002133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305361.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101002133122 its reverse (221331200101), we get a palindrome (322333333223).

The spelling of 101002133122 in words is "one hundred one billion, two million, one hundred thirty-three thousand, one hundred twenty-two".