2100111022211 has 16 divisors (see below), whose sum is σ = 2225997993024. Its totient is φ = 1974486349824.

The previous prime is 2100111022199. The next prime is 2100111022241. The reversal of 2100111022211 is 1122201110012.

It is a de Polignac number, because none of the positive numbers 2^k-2100111022211 is a prime.

It is a super-2 number, since 2×2100111022211² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100111022241) 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, 71889770 + ... + 71918976.

It is an arithmetic number, because the mean of its divisors is an integer number (139124874564).

Almost surely, 2^{2100111022211} is an apocalyptic number.

2100111022211 is a deficient number, since it is larger than the sum of its proper divisors (125886970813).

2100111022211 is a wasteful number, since it uses less digits than its factorization.

2100111022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33550.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2100111022211 its reverse (1122201110012), we get a palindrome (3222312132223).

The spelling of 2100111022211 in words is "two trillion, one hundred billion, one hundred eleven million, twenty-two thousand, two hundred eleven".