101024003100 has 72 divisors (see below), whose sum is σ = 292329189040. Its totient is φ = 26936686080.

The previous prime is 101024003051. The next prime is 101024003107. The reversal of 101024003100 is 1300420101.

It is a happy number.

It is a super-2 number, since 2×101024003100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101024003107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4167816 + ... + 4191984.

Almost surely, 2^101024003100 is an apocalyptic number.

101024003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101024003100 is an abundant number, since it is smaller than the sum of its proper divisors (191305185940).

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

101024003100 is a wasteful number, since it uses less digits than its factorization.

101024003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38119 (or 38112 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101024003100 its reverse (1300420101), we get a palindrome (102324423201).

The spelling of 101024003100 in words is "one hundred one billion, twenty-four million, three thousand, one hundred".