2100001222001 has 16 divisors (see below), whose sum is σ = 2150560011600. Its totient is φ = 2049970606080.

The previous prime is 2100001221937. The next prime is 2100001222019. The reversal of 2100001222001 is 1002221000012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 497802213601 + 1602199008400 = 705551^2 + 1265780^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100001222001 - 2⁶ = 2100001221937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100001222201) 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, 34709825 + ... + 34770273.

It is an arithmetic number, because the mean of its divisors is an integer number (134410000725).

Almost surely, 2^{2100001222001} is an apocalyptic number.

It is an amenable number.

2100001222001 is a deficient number, since it is larger than the sum of its proper divisors (50558789599).

2100001222001 is a wasteful number, since it uses less digits than its factorization.

2100001222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64804.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2100001222001 its reverse (1002221000012), we get a palindrome (3102222222013).

The spelling of 2100001222001 in words is "two trillion, one hundred billion, one million, two hundred twenty-two thousand, one".