100330272033001 has 4 divisors (see below), whose sum is σ = 100330292066004. Its totient is φ = 100330252000000.

The previous prime is 100330272032989. The next prime is 100330272033011.

100330272033001 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 71303230127376 + 29027041905625 = 8444124^2 + 5387675^2 .

It is a cyclic number.

It is not a de Polignac number, because 100330272033001 - 2³⁹ = 99780516219113 is a prime.

It is a super-2 number, since 2×100330272033001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100330272033011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5001501 + ... + 15022501.

It is an arithmetic number, because the mean of its divisors is an integer number (25082573016501).

Almost surely, 2^{100330272033001} is an apocalyptic number.

It is an amenable number.

100330272033001 is a deficient number, since it is larger than the sum of its proper divisors (20033003).

100330272033001 is a wasteful number, since it uses less digits than its factorization.

100330272033001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20033002.

The product of its (nonzero) digits is 2268, while the sum is 25.

The spelling of 100330272033001 in words is "one hundred trillion, three hundred thirty billion, two hundred seventy-two million, thirty-three thousand, one".