10100331120 has 160 divisors (see below), whose sum is σ = 35335595520. Its totient is φ = 2364113920.

The previous prime is 10100331119. The next prime is 10100331121. The reversal of 10100331120 is 2113300101.

It is an interprime number because it is at equal distance from previous prime (10100331119) and next prime (10100331121).

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 = 10100331096 and 10100331105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100331121) 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, 10597 + ... + 142523.

It is an arithmetic number, because the mean of its divisors is an integer number (220847472).

Almost surely, 2^10100331120 is an apocalyptic number.

10100331120 is a gapful number since it is divisible by the number (10) 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 10100331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17667797760).

10100331120 is an abundant number, since it is smaller than the sum of its proper divisors (25235264400).

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

10100331120 is a wasteful number, since it uses less digits than its factorization.

10100331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131983 (or 131977 counting only the distinct ones).

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

Adding to 10100331120 its reverse (2113300101), we get a palindrome (12213631221).

The spelling of 10100331120 in words is "ten billion, one hundred million, three hundred thirty-one thousand, one hundred twenty".