21122100201111 has 256 divisors, whose sum is σ = 39145568501760. Its totient is φ = 9812115118080.

The previous prime is 21122100201101. The next prime is 21122100201127. The reversal of 21122100201111 is 11110200122112.

It is a happy number.

It is not a de Polignac number, because 21122100201111 - 2¹⁰ = 21122100200087 is a prime.

It is a super-2 number, since 2×21122100201111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122100201101) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4957073721 + ... + 4957077981.

It is an arithmetic number, because the mean of its divisors is an integer number (152912376960).

Almost surely, 2^{21122100201111} is an apocalyptic number.

21122100201111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21122100201111 is a deficient number, since it is larger than the sum of its proper divisors (18023468300649).

21122100201111 is a wasteful number, since it uses less digits than its factorization.

21122100201111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21122100201111 its reverse (11110200122112), we get a palindrome (32232300323223).

The spelling of 21122100201111 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, two hundred one thousand, one hundred eleven".