10100010321 has 6 divisors (see below), whose sum is σ = 14588903810. Its totient is φ = 6733340208.

The previous prime is 10100010313. The next prime is 10100010343. The reversal of 10100010321 is 12301000101.

It can be written as a sum of positive squares in only one way, i.e., 9989003025 + 111007296 = 99945^2 + 10536^2 .

It is not a de Polignac number, because 10100010321 - 2³ = 10100010313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122223369 = 10100010321 / (1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 3 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100010391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561111676 + ... + 561111693.

Almost surely, 2^10100010321 is an apocalyptic number.

It is an amenable number.

10100010321 is a deficient number, since it is larger than the sum of its proper divisors (4488893489).

10100010321 is a wasteful number, since it uses less digits than its factorization.

10100010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122223375 (or 1122223372 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100010321 its reverse (12301000101), we get a palindrome (22401010422).

The spelling of 10100010321 in words is "ten billion, one hundred million, ten thousand, three hundred twenty-one".