102114113103040 has 112 divisors (see below), whose sum is σ = 249371890790400. Its totient is φ = 39809321495552.

The previous prime is 102114113103029. The next prime is 102114113103043. The reversal of 102114113103040 is 40301311411201.

It is not an unprimeable number, because it can be changed into a prime (102114113103043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10609420 + ... + 17798539.

It is an arithmetic number, because the mean of its divisors is an integer number (2226534739200).

Almost surely, 2^{102114113103040} is an apocalyptic number.

102114113103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102114113103040 is an abundant number, since it is smaller than the sum of its proper divisors (147257777687360).

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

102114113103040 is a wasteful number, since it uses less digits than its factorization.

102114113103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28408262 (or 28408252 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 102114113103040 its reverse (40301311411201), we get a palindrome (142415424514241).

The spelling of 102114113103040 in words is "one hundred two trillion, one hundred fourteen billion, one hundred thirteen million, one hundred three thousand, forty".