102132311300200 has 24 divisors (see below), whose sum is σ = 237457623773430. Its totient is φ = 40852924520000.

The previous prime is 102132311300161. The next prime is 102132311300207. The reversal of 102132311300200 is 2003113231201.

It can be written as a sum of positive squares in 3 ways, for example, as 76556655111556 + 25575656188644 = 8749666^2 + 5057238^2 .

It is a super-2 number, since 2×102132311300200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102132311300207) 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 5 ways as a sum of consecutive naturals, for example, 255330778051 + ... + 255330778450.

Almost surely, 2^{102132311300200} is an apocalyptic number.

102132311300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132311300200 is an abundant number, since it is smaller than the sum of its proper divisors (135325312473230).

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

102132311300200 is a wasteful number, since it uses less digits than its factorization.

102132311300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510661556517 (or 510661556508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102132311300200 its reverse (2003113231201), we get a palindrome (104135424531401).

The spelling of 102132311300200 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred eleven million, three hundred thousand, two hundred".