2100220122211 has 16 divisors (see below), whose sum is σ = 2316778813440. Its totient is φ = 1895006076480.

The previous prime is 2100220122151. The next prime is 2100220122269. The reversal of 2100220122211 is 1122210220012.

It is a happy number.

It is not a de Polignac number, because 2100220122211 - 2¹⁷ = 2100219991139 is a prime.

It is a super-4 number, since 4×2100220122211⁴ (a number of 50 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100220129211) 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, 10211475 + ... + 10415116.

It is an arithmetic number, because the mean of its divisors is an integer number (144798675840).

Almost surely, 2^{2100220122211} is an apocalyptic number.

2100220122211 is a deficient number, since it is larger than the sum of its proper divisors (216558691229).

2100220122211 is a wasteful number, since it uses less digits than its factorization.

2100220122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20626866.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2100220122211 its reverse (1122210220012), we get a palindrome (3222430342223).

The spelling of 2100220122211 in words is "two trillion, one hundred billion, two hundred twenty million, one hundred twenty-two thousand, two hundred eleven".