21122100011111 has 16 divisors (see below), whose sum is σ = 24261647562240. Its totient is φ = 18186328941120.

The previous prime is 21122100011083. The next prime is 21122100011167. The reversal of 21122100011111 is 11111000122112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21122100011111 is a prime.

It is a super-2 number, since 2×21122100011111² (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 (21122100013111) 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, 12989855 + ... + 14525168.

It is an arithmetic number, because the mean of its divisors is an integer number (1516352972640).

Almost surely, 2^{21122100011111} is an apocalyptic number.

21122100011111 is a deficient number, since it is larger than the sum of its proper divisors (3139547551129).

21122100011111 is a wasteful number, since it uses less digits than its factorization.

21122100011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27518726.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21122100011111 its reverse (11111000122112), we get a palindrome (32233100133223).

The spelling of 21122100011111 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, eleven thousand, one hundred eleven".