102131010300 has 144 divisors (see below), whose sum is σ = 326247368832. Its totient is φ = 24460665600.

The previous prime is 102131010269. The next prime is 102131010343. The reversal of 102131010300 is 3010131201.

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, 87462 + ... + 460338.

It is an arithmetic number, because the mean of its divisors is an integer number (2265606728).

Almost surely, 2^102131010300 is an apocalyptic number.

102131010300 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 102131010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163123684416).

102131010300 is an abundant number, since it is smaller than the sum of its proper divisors (224116358532).

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

102131010300 is a wasteful number, since it uses less digits than its factorization.

102131010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372988 (or 372981 counting only the distinct ones).

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

Adding to 102131010300 its reverse (3010131201), we get a palindrome (105141141501).

The spelling of 102131010300 in words is "one hundred two billion, one hundred thirty-one million, ten thousand, three hundred".