102400114301 has 24 divisors (see below), whose sum is σ = 107359814016. Its totient is φ = 97639728480.

The previous prime is 102400114291. The next prime is 102400114303. The reversal of 102400114301 is 103411004201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-102400114301 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102400114301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400114303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13517951 + ... + 13525523.

It is an arithmetic number, because the mean of its divisors is an integer number (4473325584).

Almost surely, 2^102400114301 is an apocalyptic number.

It is an amenable number.

102400114301 is a deficient number, since it is larger than the sum of its proper divisors (4959699715).

102400114301 is an equidigital number, since it uses as much as digits as its factorization.

102400114301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102400114301 its reverse (103411004201), we get a palindrome (205811118502).

The spelling of 102400114301 in words is "one hundred two billion, four hundred million, one hundred fourteen thousand, three hundred one".