21122000111057 has 2 divisors, whose sum is σ = 21122000111058. Its totient is φ = 21122000111056.

The previous prime is 21122000110969. The next prime is 21122000111059. The reversal of 21122000111057 is 75011100022112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16479832535296 + 4642167575761 = 4059536^2 + 2154569^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122000111057 - 2¹⁸ = 21121999848913 is a prime.

It is a super-2 number, since 2×21122000111057² (a number of 27 digits) contains 22 as substring.

Together with 21122000111059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (21122000111059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561000055528 + 10561000055529.

It is an arithmetic number, because the mean of its divisors is an integer number (10561000055529).

Almost surely, 2^{21122000111057} is an apocalyptic number.

It is an amenable number.

21122000111057 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122000111057 is an equidigital number, since it uses as much as digits as its factorization.

21122000111057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 21122000111057 its reverse (75011100022112), we get a palindrome (96133100133169).

The spelling of 21122000111057 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred eleven thousand, fifty-seven".