102210133000 has 32 divisors (see below), whose sum is σ = 239171713560. Its totient is φ = 40884052800.

The previous prime is 102210132979. The next prime is 102210133001. The reversal of 102210133000 is 331012201.

It can be written as a sum of positive squares in 4 ways, for example, as 59495990724 + 42714142276 = 243918^2 + 206674^2 .

It is a super-2 number, since 2×102210133000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102210133001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51104067 + ... + 51106066.

Almost surely, 2^102210133000 is an apocalyptic number.

102210133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210133000 is an abundant number, since it is smaller than the sum of its proper divisors (136961580560).

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

102210133000 is a wasteful number, since it uses less digits than its factorization.

102210133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102210154 (or 102210140 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102210133000 its reverse (331012201), we get a palindrome (102541145201).

The spelling of 102210133000 in words is "one hundred two billion, two hundred ten million, one hundred thirty-three thousand".