101122131033 has 192 divisors, whose sum is σ = 197171380224. Its totient is φ = 48335616000.

The previous prime is 101122130987. The next prime is 101122131059. The reversal of 101122131033 is 330131221101.

101122131033 is a `hidden beast` number, since 101 + 1 + 221 + 310 + 33 = 666.

It is not a de Polignac number, because 101122131033 - 2⁶ = 101122130969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122130997 and 101122131015.

It is not an unprimeable number, because it can be changed into a prime (101122131433) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160256628 + ... + 160257258.

It is an arithmetic number, because the mean of its divisors is an integer number (1026934272).

Almost surely, 2^101122131033 is an apocalyptic number.

It is an amenable number.

101122131033 is a deficient number, since it is larger than the sum of its proper divisors (96049249191).

101122131033 is a wasteful number, since it uses less digits than its factorization.

101122131033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101122131033 its reverse (330131221101), we get a palindrome (431253352134).

The spelling of 101122131033 in words is "one hundred one billion, one hundred twenty-two million, one hundred thirty-one thousand, thirty-three".