2100100222001 has 4 divisors (see below), whose sum is σ = 2100104444004. Its totient is φ = 2100096000000.

The previous prime is 2100100221949. The next prime is 2100100222079. The reversal of 2100100222001 is 1002220010012.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 990669864976 + 1109430357025 = 995324^2 + 1053295^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100100222001 - 2¹⁸ = 2100099959857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100100222081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1247000 + ... + 2399001.

It is an arithmetic number, because the mean of its divisors is an integer number (525026111001).

Almost surely, 2^{2100100222001} is an apocalyptic number.

It is an amenable number.

2100100222001 is a deficient number, since it is larger than the sum of its proper divisors (4222003).

2100100222001 is an equidigital number, since it uses as much as digits as its factorization.

2100100222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222002.

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

Adding to 2100100222001 its reverse (1002220010012), we get a palindrome (3102320232013).

The spelling of 2100100222001 in words is "two trillion, one hundred billion, one hundred million, two hundred twenty-two thousand, one".