21122222120113 has 32 divisors (see below), whose sum is σ = 21924547706880. Its totient is φ = 20337671064000.

The previous prime is 21122222120099. The next prime is 21122222120137. The reversal of 21122222120113 is 31102122222112.

It is a cyclic number.

It is not a de Polignac number, because 21122222120113 - 2¹⁷ = 21122221989041 is a prime.

It is a super-2 number, since 2×21122222120113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21122222100113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472648056 + ... + 472692742.

It is an arithmetic number, because the mean of its divisors is an integer number (685142115840).

Almost surely, 2^{21122222120113} is an apocalyptic number.

It is an amenable number.

21122222120113 is a deficient number, since it is larger than the sum of its proper divisors (802325586767).

21122222120113 is a wasteful number, since it uses less digits than its factorization.

21122222120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45477.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 21122222120113 its reverse (31102122222112), we get a palindrome (52224344342225).

The spelling of 21122222120113 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty thousand, one hundred thirteen".