10102131300 has 144 divisors (see below), whose sum is σ = 30588042240. Its totient is φ = 2569311360.

The previous prime is 10102131271. The next prime is 10102131313. The reversal of 10102131300 is 313120101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2613169 + ... + 2617031.

It is an arithmetic number, because the mean of its divisors is an integer number (212416960).

Almost surely, 2^10102131300 is an apocalyptic number.

10102131300 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 10102131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294021120).

10102131300 is an abundant number, since it is smaller than the sum of its proper divisors (20485910940).

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

10102131300 is a wasteful number, since it uses less digits than its factorization.

10102131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4275 counting only the distinct ones).

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

Adding to 10102131300 its reverse (313120101), we get a palindrome (10415251401).

The spelling of 10102131300 in words is "ten billion, one hundred two million, one hundred thirty-one thousand, three hundred".