102040314010400 has 72 divisors (see below), whose sum is σ = 257695775828820. Its totient is φ = 39408672988160.

The previous prime is 102040314010399. The next prime is 102040314010433. The reversal of 102040314010400 is 4010413040201.

It can be written as a sum of positive squares in 6 ways, for example, as 43573676273296 + 58466637737104 = 6601036^2 + 7646348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2199121499 + ... + 2199167898.

Almost surely, 2^{102040314010400} is an apocalyptic number.

102040314010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102040314010400 is an abundant number, since it is smaller than the sum of its proper divisors (155655461818420).

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

102040314010400 is a wasteful number, since it uses less digits than its factorization.

102040314010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398289446 (or 4398289433 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102040314010400 its reverse (4010413040201), we get a palindrome (106050727050601).

The spelling of 102040314010400 in words is "one hundred two trillion, forty billion, three hundred fourteen million, ten thousand, four hundred".