101122012033 has 16 divisors (see below), whose sum is σ = 122389574400. Its totient is φ = 81561793536.

The previous prime is 101122012001. The next prime is 101122012151. The reversal of 101122012033 is 330210221101.

It is a cyclic number.

It is not a de Polignac number, because 101122012033 - 2⁵ = 101122012001 is a prime.

It is a super-2 number, since 2×101122012033² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122011998 and 101122012016.

It is not an unprimeable number, because it can be changed into a prime (101122012333) 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, 563785 + ... + 721177.

It is an arithmetic number, because the mean of its divisors is an integer number (7649348400).

Almost surely, 2^101122012033 is an apocalyptic number.

It is an amenable number.

101122012033 is a deficient number, since it is larger than the sum of its proper divisors (21267562367).

101122012033 is a wasteful number, since it uses less digits than its factorization.

101122012033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162816.

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

Adding to 101122012033 its reverse (330210221101), we get a palindrome (431332233134).

The spelling of 101122012033 in words is "one hundred one billion, one hundred twenty-two million, twelve thousand, thirty-three".