102100313980900 has 81 divisors (see below), whose sum is σ = 229467632663451. Its totient is φ = 39430713698880.

The previous prime is 102100313980897. The next prime is 102100313980927. The reversal of 102100313980900 is 9089313001201.

The square root of 102100313980900 is 10104470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1403424054244 + 100696889926656 = 1184662^2 + 10034784^2 .

It is a super-2 number, since 2×102100313980900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102100313980900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2930278879 + ... + 2930313721.

Almost surely, 2^{102100313980900} is an apocalyptic number.

102100313980900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100313980900 is the 10104470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100313980900

102100313980900 is an abundant number, since it is smaller than the sum of its proper divisors (127367318682551).

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

102100313980900 is an frugal number, since it uses more digits than its factorization.

102100313980900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69758 (or 34879 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 102100313980900 in words is "one hundred two trillion, one hundred billion, three hundred thirteen million, nine hundred eighty thousand, nine hundred".