2002100222001 has 32 divisors (see below), whose sum is σ = 2920881640320. Its totient is φ = 1209755289600.

The previous prime is 2002100221987. The next prime is 2002100222029. The reversal of 2002100222001 is 1002220012002.

It is not a de Polignac number, because 2002100222001 - 2¹⁴ = 2002100205617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002100222201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99950055 + ... + 99970083.

It is an arithmetic number, because the mean of its divisors is an integer number (91277551260).

Almost surely, 2^{2002100222001} is an apocalyptic number.

It is an amenable number.

2002100222001 is a deficient number, since it is larger than the sum of its proper divisors (918781418319).

2002100222001 is a wasteful number, since it uses less digits than its factorization.

2002100222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28977.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002100222001 its reverse (1002220012002), we get a palindrome (3004320234003).

It can be divided in two parts, 2002 and 100222001, that multiplied together give a palindrome (200644446002).

The spelling of 2002100222001 in words is "two trillion, two billion, one hundred million, two hundred twenty-two thousand, one".