102125000252100 has 144 divisors (see below), whose sum is σ = 338257100160000. Its totient is φ = 23303887201920.

The previous prime is 102125000252087. The next prime is 102125000252123. The reversal of 102125000252100 is 1252000521201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 39335550 + ... + 41851349.

It is an arithmetic number, because the mean of its divisors is an integer number (2349007640000).

Almost surely, 2^{102125000252100} is an apocalyptic number.

102125000252100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102125000252100 is an abundant number, since it is smaller than the sum of its proper divisors (236132099907900).

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

102125000252100 is a wasteful number, since it uses less digits than its factorization.

102125000252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81187522 (or 81187515 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 102125000252100 its reverse (1252000521201), we get a palindrome (103377000773301).

The spelling of 102125000252100 in words is "one hundred two trillion, one hundred twenty-five billion, two hundred fifty-two thousand, one hundred".