102414120014034 has 96 divisors (see below), whose sum is σ = 223585481433600. Its totient is φ = 33879235737600.

The previous prime is 102414120013999. The next prime is 102414120014071. The reversal of 102414120014034 is 430410021414201.

102414120014034 is a `hidden beast` number, since 1 + 0 + 2 + 414 + 1 + 200 + 1 + 40 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102414120013989 and 102414120014007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10561418274 + ... + 10561427970.

It is an arithmetic number, because the mean of its divisors is an integer number (2329015431600).

Almost surely, 2^{102414120014034} is an apocalyptic number.

102414120014034 is an abundant number, since it is smaller than the sum of its proper divisors (121171361419566).

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

102414120014034 is a wasteful number, since it uses less digits than its factorization.

102414120014034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176 (or 17173 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102414120014034 its reverse (430410021414201), we get a palindrome (532824141428235).

The spelling of 102414120014034 in words is "one hundred two trillion, four hundred fourteen billion, one hundred twenty million, fourteen thousand, thirty-four".