10100102131300 has 144 divisors (see below), whose sum is σ = 23124559933440. Its totient is φ = 3818491943040.

The previous prime is 10100102131297. The next prime is 10100102131307. The reversal of 10100102131300 is 313120100101.

It is not an unprimeable number, because it can be changed into a prime (10100102131307) 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, 2147584749 + ... + 2147589451.

It is an arithmetic number, because the mean of its divisors is an integer number (160587221760).

Almost surely, 2^{10100102131300} is an apocalyptic number.

10100102131300 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 10100102131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11562279966720).

10100102131300 is an abundant number, since it is smaller than the sum of its proper divisors (13024457802140).

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

10100102131300 is a wasteful number, since it uses less digits than its factorization.

10100102131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10100102131300 its reverse (313120100101), we get a palindrome (10413222231401).

The spelling of 10100102131300 in words is "ten trillion, one hundred billion, one hundred two million, one hundred thirty-one thousand, three hundred".