10102312010999 has 16 divisors (see below), whose sum is σ = 10901141473824. Its totient is φ = 9306604876800.

The previous prime is 10102312010993. The next prime is 10102312011031. The reversal of 10102312010999 is 99901021320101.

It is a cyclic number.

It is not a de Polignac number, because 10102312010999 - 2³² = 10098017043703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102312010993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12940619 + ... + 13699059.

It is an arithmetic number, because the mean of its divisors is an integer number (681321342114).

Almost surely, 2^{10102312010999} is an apocalyptic number.

10102312010999 is a deficient number, since it is larger than the sum of its proper divisors (798829462825).

10102312010999 is a wasteful number, since it uses less digits than its factorization.

10102312010999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760498.

The product of its (nonzero) digits is 8748, while the sum is 38.

The spelling of 10102312010999 in words is "ten trillion, one hundred two billion, three hundred twelve million, ten thousand, nine hundred ninety-nine".