100023121320001 has 6 divisors (see below), whose sum is σ = 109942769715506. Its totient is φ = 90930110290800.

The previous prime is 100023121319981. The next prime is 100023121320049.

100023121320001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 81158909862976 + 18864211457025 = 9008824^2 + 4343295^2 .

It is not a de Polignac number, because 100023121320001 - 2⁷ = 100023121319873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100023121320301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413318683020 + ... + 413318683261.

Almost surely, 2^{100023121320001} is an apocalyptic number.

100023121320001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100023121320001 is a deficient number, since it is larger than the sum of its proper divisors (9919648395505).

100023121320001 is an equidigital number, since it uses as much as digits as its factorization.

100023121320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826637366303 (or 826637366292 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 100023121320001 in words is "one hundred trillion, twenty-three billion, one hundred twenty-one million, three hundred twenty thousand, one".