102202233002000 has 40 divisors (see below), whose sum is σ = 247124999403672. Its totient is φ = 40880893200000.

The previous prime is 102202233001937. The next prime is 102202233002011. The reversal of 102202233002000 is 200332202201.

It can be written as a sum of positive squares in 4 ways, for example, as 1845435307024 + 100356797694976 = 1358468^2 + 10017824^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 102202233002000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25550556251 + ... + 25550560250.

Almost surely, 2^{102202233002000} is an apocalyptic number.

102202233002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202233002000 is an abundant number, since it is smaller than the sum of its proper divisors (144922766401672).

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

102202233002000 is an equidigital number, since it uses as much as digits as its factorization.

102202233002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51101116524 (or 51101116508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 102202233002000 its reverse (200332202201), we get a palindrome (102402565204201).

The spelling of 102202233002000 in words is "one hundred two trillion, two hundred two billion, two hundred thirty-three million, two thousand".