10102414014 has 64 divisors (see below), whose sum is σ = 27989383680. Its totient is φ = 2624002560.

The previous prime is 10102413989. The next prime is 10102414043. The reversal of 10102414014 is 41041420101.

10102414014 is a `hidden beast` number, since 10 + 10 + 241 + 401 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210659 + ... + 1218974.

It is an arithmetic number, because the mean of its divisors is an integer number (437334120).

Almost surely, 2^10102414014 is an apocalyptic number.

10102414014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10102414014 is an abundant number, since it is smaller than the sum of its proper divisors (17886969666).

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

10102414014 is a wasteful number, since it uses less digits than its factorization.

10102414014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429662 (or 2429656 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10102414014 its reverse (41041420101), we get a palindrome (51143834115).

The spelling of 10102414014 in words is "ten billion, one hundred two million, four hundred fourteen thousand, fourteen".