2001020102001 has 12 divisors (see below), whose sum is σ = 2890375410000. Its totient is φ = 1334007382680.

The previous prime is 2001020101973. The next prime is 2001020102009. The reversal of 2001020102001 is 1002010201002.

It is not a de Polignac number, because 2001020102001 - 2⁶ = 2001020101937 is a prime.

It is a super-2 number, since 2×2001020102001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2001020102009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2639250 + ... + 3311748.

It is an arithmetic number, because the mean of its divisors is an integer number (240864617500).

Almost surely, 2^{2001020102001} is an apocalyptic number.

It is an amenable number.

2001020102001 is a deficient number, since it is larger than the sum of its proper divisors (889355307999).

2001020102001 is a wasteful number, since it uses less digits than its factorization.

2001020102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003116 (or 1003113 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001020102001 its reverse (1002010201002), we get a palindrome (3003030303003).

Subtracting from 2001020102001 its reverse (1002010201002), we obtain a palindrome (999009900999).

The spelling of 2001020102001 in words is "two trillion, one billion, twenty million, one hundred two thousand, one".