100012303210001 has 48 divisors (see below), whose sum is σ = 126690854172624. Its totient is φ = 78249185796096.

The previous prime is 100012303209979. The next prime is 100012303210007.

100012303210001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 13056659560000 + 86955643650001 = 3613400^2 + 9325001^2 .

It is not a de Polignac number, because 100012303210001 - 2³⁰ = 100011229468177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100012303210007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29563355 + ... + 32772191.

It is an arithmetic number, because the mean of its divisors is an integer number (2639392795263).

Almost surely, 2^{100012303210001} is an apocalyptic number.

It is an amenable number.

100012303210001 is a deficient number, since it is larger than the sum of its proper divisors (26678550962623).

100012303210001 is a wasteful number, since it uses less digits than its factorization.

100012303210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209410 (or 3209403 counting only the distinct ones).

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

It can be divided in two parts, 10001230 and 3210001, that added together give a palindrome (13211231).

The spelling of 100012303210001 in words is "one hundred trillion, twelve billion, three hundred three million, two hundred ten thousand, one".