10102330312001 has 16 divisors (see below), whose sum is σ = 10179872322048. Its totient is φ = 10025097364800.

The previous prime is 10102330311959. The next prime is 10102330312027. The reversal of 10102330312001 is 10021303320101.

It is a cyclic number.

It is not a de Polignac number, because 10102330312001 - 2¹⁰ = 10102330310977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102330311001) 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, 828257435 + ... + 828269631.

It is an arithmetic number, because the mean of its divisors is an integer number (636242020128).

Almost surely, 2^{10102330312001} is an apocalyptic number.

It is an amenable number.

10102330312001 is a deficient number, since it is larger than the sum of its proper divisors (77542010047).

10102330312001 is a wasteful number, since it uses less digits than its factorization.

10102330312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24352.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10102330312001 its reverse (10021303320101), we get a palindrome (20123633632102).

The spelling of 10102330312001 in words is "ten trillion, one hundred two billion, three hundred thirty million, three hundred twelve thousand, one".