102220313000 has 64 divisors (see below), whose sum is σ = 257595221520. Its totient is φ = 37742880000.

The previous prime is 102220312951. The next prime is 102220313009. The reversal of 102220313000 is 313022201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8729912356 + 93490400644 = 93434^2 + 305762^2 .

It is not an unprimeable number, because it can be changed into a prime (102220313009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3918551 + ... + 3944550.

Almost surely, 2^102220313000 is an apocalyptic number.

102220313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220313000 is an abundant number, since it is smaller than the sum of its proper divisors (155374908520).

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

102220313000 is a wasteful number, since it uses less digits than its factorization.

102220313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863135 (or 7863121 counting only the distinct ones).

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

Adding to 102220313000 its reverse (313022201), we get a palindrome (102533335201).

The spelling of 102220313000 in words is "one hundred two billion, two hundred twenty million, three hundred thirteen thousand".