101132210120031 has 10 divisors (see below), whose sum is σ = 151074042278192. Its totient is φ = 67421473413300.

The previous prime is 101132210120023. The next prime is 101132210120069. The reversal of 101132210120031 is 130021012231101.

101132210120031 is a `hidden beast` number, since 1 + 0 + 11 + 322 + 101 + 200 + 31 = 666.

It is not a de Polignac number, because 101132210120031 - 2³ = 101132210120023 is a prime.

It is a super-2 number, since 2×101132210120031² (a number of 29 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 = 101132210119986 and 101132210120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132210120531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 624272901895 + ... + 624272902056.

Almost surely, 2^{101132210120031} is an apocalyptic number.

101132210120031 is a deficient number, since it is larger than the sum of its proper divisors (49941832158161).

101132210120031 is an equidigital number, since it uses as much as digits as its factorization.

101132210120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248545803963 (or 1248545803954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101132210120031 its reverse (130021012231101), we get a palindrome (231153222351132).

The spelling of 101132210120031 in words is "one hundred one trillion, one hundred thirty-two billion, two hundred ten million, one hundred twenty thousand, thirty-one".