101031031024 has 120 divisors (see below), whose sum is σ = 256973396400. Its totient is φ = 38005309440.

The previous prime is 101031031021. The next prime is 101031031051. The reversal of 101031031024 is 420130130101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101031030989 and 101031031007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031031021) 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 23 ways as a sum of consecutive naturals, for example, 48112 + ... + 452080.

It is an arithmetic number, because the mean of its divisors is an integer number (2141444970).

Almost surely, 2^101031031024 is an apocalyptic number.

101031031024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128486698200).

101031031024 is an abundant number, since it is smaller than the sum of its proper divisors (155942365376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101031031024 is a wasteful number, since it uses less digits than its factorization.

101031031024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404031 (or 404018 counting only the distinct ones).

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

Adding to 101031031024 its reverse (420130130101), we get a palindrome (521161161125).

The spelling of 101031031024 in words is "one hundred one billion, thirty-one million, thirty-one thousand, twenty-four".