100310022310001 has 12 divisors (see below), whose sum is σ = 116687708265060. Its totient is φ = 85979621629440.

The previous prime is 100310022309989. The next prime is 100310022310019. The reversal of 100310022310001 is 100013220013001.

It can be written as a sum of positive squares in 2 ways, for example, as 58885364742400 + 41424657567601 = 7673680^2 + 6436199^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100310022310001 is a prime.

It is a super-5 number, since 5×100310022310001⁵ (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100310022310031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6231641 + ... + 15474281.

It is an arithmetic number, because the mean of its divisors is an integer number (9723975688755).

Almost surely, 2^{100310022310001} is an apocalyptic number.

It is an amenable number.

100310022310001 is a deficient number, since it is larger than the sum of its proper divisors (16377685955059).

100310022310001 is an equidigital number, since it uses as much as digits as its factorization.

100310022310001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9464144 (or 9464137 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100310022310001 its reverse (100013220013001), we get a palindrome (200323242323002).

The spelling of 100310022310001 in words is "one hundred trillion, three hundred ten billion, twenty-two million, three hundred ten thousand, one".