102202313000 has 32 divisors (see below), whose sum is σ = 239153414760. Its totient is φ = 40880924800.

The previous prime is 102202312973. The next prime is 102202313023. The reversal of 102202313000 is 313202201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20930566276 + 81271746724 = 144674^2 + 285082^2 .

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, 51100157 + ... + 51102156.

Almost surely, 2^102202313000 is an apocalyptic number.

102202313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202313000 is an abundant number, since it is smaller than the sum of its proper divisors (136951101760).

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

102202313000 is a wasteful number, since it uses less digits than its factorization.

102202313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102202334 (or 102202320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102202313000 its reverse (313202201), we get a palindrome (102515515201).

The spelling of 102202313000 in words is "one hundred two billion, two hundred two million, three hundred thirteen thousand".