21122101121111 has 16 divisors (see below), whose sum is σ = 22752786229248. Its totient is φ = 19550854461600.

The previous prime is 21122101121101. The next prime is 21122101121159. The reversal of 21122101121111 is 11112110122112.

It is a cyclic number.

It is not a de Polignac number, because 21122101121111 - 2⁶ = 21122101121047 is a prime.

It is a super-2 number, since 2×21122101121111² (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 21122101121111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122101121101) 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, 11258105 + ... + 12999581.

It is an arithmetic number, because the mean of its divisors is an integer number (1422049139328).

Almost surely, 2^{21122101121111} is an apocalyptic number.

21122101121111 is a deficient number, since it is larger than the sum of its proper divisors (1630685108137).

21122101121111 is a wasteful number, since it uses less digits than its factorization.

21122101121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758542.

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

Adding to 21122101121111 its reverse (11112110122112), we get a palindrome (32234211243223).

The spelling of 21122101121111 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred eleven".