102202120002000 has 160 divisors (see below), whose sum is σ = 329510960663040. Its totient is φ = 27252961881600.

The previous prime is 102202120001887. The next prime is 102202120002001. The reversal of 102202120002000 is 200021202201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202120002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183940606 + ... + 184495394.

It is an arithmetic number, because the mean of its divisors is an integer number (2059443504144).

Almost surely, 2^{102202120002000} is an apocalyptic number.

102202120002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202120002000 is an abundant number, since it is smaller than the sum of its proper divisors (227308840661040).

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

102202120002000 is a wasteful number, since it uses less digits than its factorization.

102202120002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585518 (or 585502 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102202120002000 its reverse (200021202201), we get a palindrome (102402141204201).

The spelling of 102202120002000 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, two thousand".