102103221200100 has 144 divisors (see below), whose sum is σ = 318698037520128. Its totient is φ = 25142398760960.

The previous prime is 102103221200093. The next prime is 102103221200161. The reversal of 102103221200100 is 1002122301201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102103221200100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188599884 + ... + 189140483.

It is an arithmetic number, because the mean of its divisors is an integer number (2213180816112).

Almost surely, 2^{102103221200100} is an apocalyptic number.

102103221200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102103221200100 is an abundant number, since it is smaller than the sum of its proper divisors (216594816320028).

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

102103221200100 is a wasteful number, since it uses less digits than its factorization.

102103221200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377740454 (or 377740447 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102103221200100 its reverse (1002122301201), we get a palindrome (103105343501301).

The spelling of 102103221200100 in words is "one hundred two trillion, one hundred three billion, two hundred twenty-one million, two hundred thousand, one hundred".