100020121020001 has 16 divisors (see below), whose sum is σ = 125424360762624. Its totient is φ = 77643651893184.

The previous prime is 100020121019971. The next prime is 100020121020007.

100020121020001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100020121020001 - 2⁷ = 100020121019873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100020121020001.

It is not an unprimeable number, because it can be changed into a prime (100020121020007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10369072621 + ... + 10369082266.

It is an arithmetic number, because the mean of its divisors is an integer number (7839022547664).

Almost surely, 2^{100020121020001} is an apocalyptic number.

It is an amenable number.

100020121020001 is a deficient number, since it is larger than the sum of its proper divisors (25404239742623).

100020121020001 is a wasteful number, since it uses less digits than its factorization.

100020121020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20738154960.

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 100020121020001 in words is "one hundred trillion, twenty billion, one hundred twenty-one million, twenty thousand, one".