10102312002321 has 96 divisors (see below), whose sum is σ = 18227433369600. Its totient is φ = 5238002246400.

The previous prime is 10102312002241. The next prime is 10102312002403. The reversal of 10102312002321 is 12320021320101.

10102312002321 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 231 + 200 + 232 + 1 = 666.

It is not a de Polignac number, because 10102312002321 - 2¹⁰ = 10102312001297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102312002294 and 10102312002303.

It is not an unprimeable number, because it can be changed into a prime (10102312001321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2173005205 + ... + 2173009853.

It is an arithmetic number, because the mean of its divisors is an integer number (189869097600).

Almost surely, 2^{10102312002321} is an apocalyptic number.

10102312002321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102312002321 is a deficient number, since it is larger than the sum of its proper divisors (8125121367279).

10102312002321 is a wasteful number, since it uses less digits than its factorization.

10102312002321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9947 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10102312002321 its reverse (12320021320101), we get a palindrome (22422333322422).

The spelling of 10102312002321 in words is "ten trillion, one hundred two billion, three hundred twelve million, two thousand, three hundred twenty-one".