21122011220113 has 2 divisors, whose sum is σ = 21122011220114. Its totient is φ = 21122011220112.

The previous prime is 21122011220081. The next prime is 21122011220269. The reversal of 21122011220113 is 31102211022112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13785128885889 + 7336882334224 = 3712833^2 + 2708668^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122011220113 - 2⁵ = 21122011220081 is a prime.

It is a super-2 number, since 2×21122011220113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21122011224113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561005610056 + 10561005610057.

It is an arithmetic number, because the mean of its divisors is an integer number (10561005610057).

Almost surely, 2^{21122011220113} is an apocalyptic number.

It is an amenable number.

21122011220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122011220113 is an equidigital number, since it uses as much as digits as its factorization.

21122011220113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 21122011220113 its reverse (31102211022112), we get a palindrome (52224222242225).

The spelling of 21122011220113 in words is "twenty-one trillion, one hundred twenty-two billion, eleven million, two hundred twenty thousand, one hundred thirteen".