102002100020000 has 120 divisors (see below), whose sum is σ = 264147860314800. Its totient is φ = 38653427232000.

The previous prime is 102002100019973. The next prime is 102002100020017. The reversal of 102002100020000 is 20001200201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102002100020000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133833290 + ... + 134593289.

It is an arithmetic number, because the mean of its divisors is an integer number (2201232169290).

Almost surely, 2^{102002100020000} is an apocalyptic number.

102002100020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002100020000 is an abundant number, since it is smaller than the sum of its proper divisors (162145760294800).

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

102002100020000 is an equidigital number, since it uses as much as digits as its factorization.

102002100020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268426628 (or 268426605 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102002100020000 its reverse (20001200201), we get a palindrome (102022101220201).

The spelling of 102002100020000 in words is "one hundred two trillion, two billion, one hundred million, twenty thousand".