10102004040015 has 24 divisors (see below), whose sum is σ = 18074983575168. Its totient is φ = 5213937568320.

The previous prime is 10102004039993. The next prime is 10102004040017. The reversal of 10102004040015 is 51004040020101.

10102004040015 is a `hidden beast` number, since 1 + 0 + 10 + 200 + 40 + 400 + 15 = 666.

It is not a de Polignac number, because 10102004040015 - 2¹¹ = 10102004037967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102004040015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102004040017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3620788584 + ... + 3620791373.

It is an arithmetic number, because the mean of its divisors is an integer number (753124315632).

Almost surely, 2^{10102004040015} is an apocalyptic number.

10102004040015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10102004040015 is a deficient number, since it is larger than the sum of its proper divisors (7972979535153).

10102004040015 is a wasteful number, since it uses less digits than its factorization.

10102004040015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241579999 (or 7241579996 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10102004040015 its reverse (51004040020101), we get a palindrome (61106044060116).

The spelling of 10102004040015 in words is "ten trillion, one hundred two billion, four million, forty thousand, fifteen".