10102012321 has 16 divisors (see below), whose sum is σ = 11100810240. Its totient is φ = 9150284880.

The previous prime is 10102012247. The next prime is 10102012343. The reversal of 10102012321 is 12321020101.

It is a cyclic number.

It is not a de Polignac number, because 10102012321 - 2¹⁵ = 10101979553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102012381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609836 + ... + 1616098.

It is an arithmetic number, because the mean of its divisors is an integer number (693800640).

Almost surely, 2^10102012321 is an apocalyptic number.

It is an amenable number.

10102012321 is a deficient number, since it is larger than the sum of its proper divisors (998797919).

10102012321 is a wasteful number, since it uses less digits than its factorization.

10102012321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10102012321 its reverse (12321020101), we get a palindrome (22423032422).

The spelling of 10102012321 in words is "ten billion, one hundred two million, twelve thousand, three hundred twenty-one".