101331120010321 has 8 divisors (see below), whose sum is σ = 101875517440488. Its totient is φ = 100787746848000.

The previous prime is 101331120010313. The next prime is 101331120010327. The reversal of 101331120010321 is 123010021133101.

It can be written as a sum of positive squares in 4 ways, for example, as 27627796126225 + 73703323884096 = 5256215^2 + 8585064^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101331120010321 - 2³ = 101331120010313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331120010327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255868570 + ... + 256264291.

It is an arithmetic number, because the mean of its divisors is an integer number (12734439680061).

Almost surely, 2^{101331120010321} is an apocalyptic number.

It is an amenable number.

101331120010321 is a deficient number, since it is larger than the sum of its proper divisors (544397430167).

101331120010321 is an equidigital number, since it uses as much as digits as its factorization.

101331120010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512133923.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101331120010321 its reverse (123010021133101), we get a palindrome (224341141143422).

The spelling of 101331120010321 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty million, ten thousand, three hundred twenty-one".