102200320202000 has 40 divisors (see below), whose sum is σ = 247120374253272. Its totient is φ = 40880128080000.

The previous prime is 102200320201937. The next prime is 102200320202003. The reversal of 102200320202000 is 202023002201.

It can be written as a sum of positive squares in 4 ways, for example, as 14656003395856 + 87544316806144 = 3828316^2 + 9356512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (102200320202003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25550078051 + ... + 25550082050.

Almost surely, 2^{102200320202000} is an apocalyptic number.

102200320202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200320202000 is an abundant number, since it is smaller than the sum of its proper divisors (144920054051272).

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

102200320202000 is an equidigital number, since it uses as much as digits as its factorization.

102200320202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51100160124 (or 51100160108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 102200320202000 its reverse (202023002201), we get a palindrome (102402343204201).

The spelling of 102200320202000 in words is "one hundred two trillion, two hundred billion, three hundred twenty million, two hundred two thousand".