101024045031 has 32 divisors (see below), whose sum is σ = 165810254848. Its totient is φ = 53278663680.

The previous prime is 101024044999. The next prime is 101024045041. The reversal of 101024045031 is 130540420101.

It is not a de Polignac number, because 101024045031 - 2⁵ = 101024044999 is a prime.

It is a super-2 number, since 2×101024045031² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101024044989 and 101024045007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101024045041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848855 + ... + 1902711.

It is an arithmetic number, because the mean of its divisors is an integer number (5181570464).

Almost surely, 2^101024045031 is an apocalyptic number.

101024045031 is a deficient number, since it is larger than the sum of its proper divisors (64786209817).

101024045031 is a wasteful number, since it uses less digits than its factorization.

101024045031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60751.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 101024045031 its reverse (130540420101), we get a palindrome (231564465132).

The spelling of 101024045031 in words is "one hundred one billion, twenty-four million, forty-five thousand, thirty-one".