10101031032 has 128 divisors (see below), whose sum is σ = 27069638400. Its totient is φ = 3129919488.

The previous prime is 10101031021. The next prime is 10101031033. The reversal of 10101031032 is 23013010101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10101030999 and 10101031017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101031033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15708903 + ... + 15709545.

It is an arithmetic number, because the mean of its divisors is an integer number (211481550).

Almost surely, 2^10101031032 is an apocalyptic number.

10101031032 is a gapful number since it is divisible by the number (12) 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 10101031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13534819200).

10101031032 is an abundant number, since it is smaller than the sum of its proper divisors (16968607368).

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

10101031032 is a wasteful number, since it uses less digits than its factorization.

10101031032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10101031032 its reverse (23013010101), we get a palindrome (33114041133).

The spelling of 10101031032 in words is "ten billion, one hundred one million, thirty-one thousand, thirty-two".