100233303332001 has 64 divisors (see below), whose sum is σ = 160126855741440. Its totient is φ = 54528787241280.

The previous prime is 100233303331999. The next prime is 100233303332027.

100233303332001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100233303332001 - 2¹ = 100233303331999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100233303312001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90133996 + ... + 91239266.

It is an arithmetic number, because the mean of its divisors is an integer number (2501982120960).

Almost surely, 2^{100233303332001} is an apocalyptic number.

It is an amenable number.

100233303332001 is a deficient number, since it is larger than the sum of its proper divisors (59893552409439).

100233303332001 is a wasteful number, since it uses less digits than its factorization.

100233303332001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106186.

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 10023330 and 3332001, that added together give a palindrome (13355331).

The spelling of 100233303332001 in words is "one hundred trillion, two hundred thirty-three billion, three hundred three million, three hundred thirty-two thousand, one".