10100001020001 has 16 divisors (see below), whose sum is σ = 13496536742400. Its totient is φ = 6718403312768.

The previous prime is 10100001019973. The next prime is 10100001020069. The reversal of 10100001020001 is 10002010000101.

10100001020001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100001020001 - 2⁹ = 10100001019489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100001020401) 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, 10693765 + ... + 11599853.

It is an arithmetic number, because the mean of its divisors is an integer number (843533546400).

Almost surely, 2^{10100001020001} is an apocalyptic number.

It is an amenable number.

10100001020001 is a deficient number, since it is larger than the sum of its proper divisors (3396535722399).

10100001020001 is an equidigital number, since it uses as much as digits as its factorization.

10100001020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914328.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100001020001 its reverse (10002010000101), we get a palindrome (20102011020102).

The spelling of 10100001020001 in words is "ten trillion, one hundred billion, one million, twenty thousand, one".