102099420900 has 81 divisors (see below), whose sum is σ = 320055011913. Its totient is φ = 27223956000.

The previous prime is 102099420887. The next prime is 102099420953. The reversal of 102099420900 is 9024990201.

The square root of 102099420900 is 319530.

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

102099420900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36755791524 + 65343629376 = 191718^2 + 255624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9580575 + ... + 9591225.

Almost surely, 2^102099420900 is an apocalyptic number.

102099420900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102099420900 is the 319530-th square number.

It is an amenable number.

102099420900 is an abundant number, since it is smaller than the sum of its proper divisors (217955591013).

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

102099420900 is an equidigital number, since it uses as much as digits as its factorization.

102099420900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21322 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 102099420900 by its sum of digits (36), we get a square (3675579152400 = 1917180²).

102099420900 divided by its sum of digits (36) gives a square (2836095025 = 53255²).

The spelling of 102099420900 in words is "one hundred two billion, ninety-nine million, four hundred twenty thousand, nine hundred".