2100220101001 has 16 divisors (see below), whose sum is σ = 2312701657920. Its totient is φ = 1891332780480.

The previous prime is 2100220100971. The next prime is 2100220101029. The reversal of 2100220101001 is 1001010220012.

It is not a de Polignac number, because 2100220101001 - 2²⁵ = 2100186546569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100220101071) 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, 23954095 + ... + 24041611.

It is an arithmetic number, because the mean of its divisors is an integer number (144543853620).

Almost surely, 2^{2100220101001} is an apocalyptic number.

It is an amenable number.

2100220101001 is a deficient number, since it is larger than the sum of its proper divisors (212481556919).

2100220101001 is a wasteful number, since it uses less digits than its factorization.

2100220101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108024.

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

Adding to 2100220101001 its reverse (1001010220012), we get a palindrome (3101230321013).

The spelling of 2100220101001 in words is "two trillion, one hundred billion, two hundred twenty million, one hundred one thousand, one".