102131021300 has 144 divisors (see below), whose sum is σ = 276530634240. Its totient is φ = 31807728000.

The previous prime is 102131021297. The next prime is 102131021303. The reversal of 102131021300 is 3120131201.

It is an interprime number because it is at equal distance from previous prime (102131021297) and next prime (102131021303).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131021303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11229755 + ... + 11238845.

Almost surely, 2^102131021300 is an apocalyptic number.

102131021300 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 102131021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138265317120).

102131021300 is an abundant number, since it is smaller than the sum of its proper divisors (174399612940).

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

102131021300 is a wasteful number, since it uses less digits than its factorization.

102131021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10582 (or 10575 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102131021300 its reverse (3120131201), we get a palindrome (105251152501).

It can be divided in two parts, 10213 and 1021300, that multiplied together give a square (10430536900 = 102130²).

The spelling of 102131021300 in words is "one hundred two billion, one hundred thirty-one million, twenty-one thousand, three hundred".