21122211110111 has 8 divisors (see below), whose sum is σ = 21275810640864. Its totient is φ = 20969149582080.

The previous prime is 21122211110087. The next prime is 21122211110123. The reversal of 21122211110111 is 11101111222112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21122211110111 is a prime.

It is a super-2 number, since 2×21122211110111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21122211110111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122211110311) 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 7 ways as a sum of consecutive naturals, for example, 134421875 + ... + 134578916.

It is an arithmetic number, because the mean of its divisors is an integer number (2659476330108).

Almost surely, 2^{21122211110111} is an apocalyptic number.

21122211110111 is a deficient number, since it is larger than the sum of its proper divisors (153599530753).

21122211110111 is a wasteful number, since it uses less digits than its factorization.

21122211110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269001361.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 21122211110111 its reverse (11101111222112), we get a palindrome (32223322332223).

The spelling of 21122211110111 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred ten thousand, one hundred eleven".