21122120120111 has 16 divisors (see below), whose sum is σ = 21918995124000. Its totient is φ = 20329833904128.

The previous prime is 21122120120083. The next prime is 21122120120119. The reversal of 21122120120111 is 11102102122112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21122120120111 is a prime.

It is a super-2 number, since 2×21122120120111² (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 21122120120111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122120120119) 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, 58879415 + ... + 59237063.

It is an arithmetic number, because the mean of its divisors is an integer number (1369937195250).

Almost surely, 2^{21122120120111} is an apocalyptic number.

21122120120111 is a deficient number, since it is larger than the sum of its proper divisors (796875003889).

21122120120111 is a wasteful number, since it uses less digits than its factorization.

21122120120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364058.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21122120120111 its reverse (11102102122112), we get a palindrome (32224222242223).

The spelling of 21122120120111 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty thousand, one hundred eleven".