102402322312400 has 150 divisors (see below), whose sum is σ = 270622072407510. Its totient is φ = 37237205984000.

The previous prime is 102402322312391. The next prime is 102402322312403. The reversal of 102402322312400 is 4213223204201.

It can be written as a sum of positive squares in 3 ways, for example, as 15225666432064 + 87176655880336 = 3902008^2 + 9336844^2 .

It is a super-2 number, since 2×102402322312400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102402322312400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102402322312403) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2886371 + ... + 14599170.

Almost surely, 2^{102402322312400} is an apocalyptic number.

102402322312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102402322312400 is an abundant number, since it is smaller than the sum of its proper divisors (168219750095110).

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

102402322312400 is an equidigital number, since it uses as much as digits as its factorization.

102402322312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17485603 (or 17485559 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 102402322312400 its reverse (4213223204201), we get a palindrome (106615545516601).

The spelling of 102402322312400 in words is "one hundred two trillion, four hundred two billion, three hundred twenty-two million, three hundred twelve thousand, four hundred".