102410332411400 has 96 divisors (see below), whose sum is σ = 256443946927560. Its totient is φ = 37809472727040.

The previous prime is 102410332411399. The next prime is 102410332411451. The reversal of 102410332411400 is 4114233014201.

It can be written as a sum of positive squares in 12 ways, for example, as 14543743267876 + 87866589143524 = 3813626^2 + 9373718^2 .

It is a super-2 number, since 2×102410332411400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 102410332411400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25738124 + ... + 29449476.

Almost surely, 2^{102410332411400} is an apocalyptic number.

102410332411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102410332411400 is an abundant number, since it is smaller than the sum of its proper divisors (154033614516160).

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

102410332411400 is a wasteful number, since it uses less digits than its factorization.

102410332411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721995 (or 3721986 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 102410332411400 its reverse (4114233014201), we get a palindrome (106524565425601).

The spelling of 102410332411400 in words is "one hundred two trillion, four hundred ten billion, three hundred thirty-two million, four hundred eleven thousand, four hundred".