102110103039987 has 192 divisors, whose sum is σ = 188439299942400. Its totient is φ = 51869010493440.

The previous prime is 102110103039943. The next prime is 102110103039991. The reversal of 102110103039987 is 789930301011201.

It is a happy number.

102110103039987 is a `hidden beast` number, since 1 + 0 + 211 + 0 + 10 + 30 + 399 + 8 + 7 = 666.

It is not a de Polignac number, because 102110103039987 - 2¹⁴ = 102110103023603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102110103039937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26108436562 + ... + 26108440472.

It is an arithmetic number, because the mean of its divisors is an integer number (981454687200).

Almost surely, 2^{102110103039987} is an apocalyptic number.

102110103039987 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102110103039987 is a deficient number, since it is larger than the sum of its proper divisors (86329196902413).

102110103039987 is a wasteful number, since it uses less digits than its factorization.

102110103039987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7506 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 102110103039987 in words is "one hundred two trillion, one hundred ten billion, one hundred three million, thirty-nine thousand, nine hundred eighty-seven".