21111122100211 has 16 divisors (see below), whose sum is σ = 24802044755040. Its totient is φ = 17715507621120.

The previous prime is 21111122100199. The next prime is 21111122100223. The reversal of 21111122100211 is 11200122111112.

It is an interprime number because it is at equal distance from previous prime (21111122100199) and next prime (21111122100223).

It is a cyclic number.

It is not a de Polignac number, because 21111122100211 - 2¹⁵ = 21111122067443 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21111122100241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25572351 + ... + 26384983.

It is an arithmetic number, because the mean of its divisors is an integer number (1550127797190).

Almost surely, 2^{21111122100211} is an apocalyptic number.

21111122100211 is a deficient number, since it is larger than the sum of its proper divisors (3690922654829).

21111122100211 is a wasteful number, since it uses less digits than its factorization.

21111122100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994326.

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

Adding to 21111122100211 its reverse (11200122111112), we get a palindrome (32311244211323).

It can be divided in two parts, 211111 and 22100211, that added together give a palindrome (22311322).

The spelling of 21111122100211 in words is "twenty-one trillion, one hundred eleven billion, one hundred twenty-two million, one hundred thousand, two hundred eleven".