103131002100 has 144 divisors (see below), whose sum is σ = 341321154048. Its totient is φ = 23551973760.

The previous prime is 103131002081. The next prime is 103131002111. The reversal of 103131002100 is 1200131301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421187 + ... + 2463413.

It is an arithmetic number, because the mean of its divisors is an integer number (2370285792).

Almost surely, 2^103131002100 is an apocalyptic number.

103131002100 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 103131002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170660577024).

103131002100 is an abundant number, since it is smaller than the sum of its proper divisors (238190151948).

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

103131002100 is a wasteful number, since it uses less digits than its factorization.

103131002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43414 (or 43407 counting only the distinct ones).

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

Adding to 103131002100 its reverse (1200131301), we get a palindrome (104331133401).

The spelling of 103131002100 in words is "one hundred three billion, one hundred thirty-one million, two thousand, one hundred".