21101122233111 has 16 divisors (see below), whose sum is σ = 28738494835200. Its totient is φ = 13765687472448.

The previous prime is 21101122233089. The next prime is 21101122233119. The reversal of 21101122233111 is 11133222110112.

It is not a de Polignac number, because 21101122233111 - 2²⁵ = 21101088678679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101122233119) 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 15 ways as a sum of consecutive naturals, for example, 12350721 + ... + 13955018.

It is an arithmetic number, because the mean of its divisors is an integer number (1796155927200).

Almost surely, 2^{21101122233111} is an apocalyptic number.

21101122233111 is a deficient number, since it is larger than the sum of its proper divisors (7637372602089).

21101122233111 is a wasteful number, since it uses less digits than its factorization.

21101122233111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26311478.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 21101122233111 its reverse (11133222110112), we get a palindrome (32234344343223).

The spelling of 21101122233111 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-two million, two hundred thirty-three thousand, one hundred eleven".