21221112001057 has 2 divisors, whose sum is σ = 21221112001058. Its totient is φ = 21221112001056.

The previous prime is 21221112001007. The next prime is 21221112001087. The reversal of 21221112001057 is 75010021112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21205509243136 + 15602757921 = 4604944^2 + 124911^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221112001057 - 2⁴³ = 12425018978849 is a prime.

It is a super-2 number, since 2×21221112001057² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21221112001007) 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 as a sum of consecutive naturals, namely, 10610556000528 + 10610556000529.

It is an arithmetic number, because the mean of its divisors is an integer number (10610556000529).

Almost surely, 2^{21221112001057} is an apocalyptic number.

It is an amenable number.

21221112001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221112001057 is an equidigital number, since it uses as much as digits as its factorization.

21221112001057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 21221112001057 its reverse (75010021112212), we get a palindrome (96231133113269).

The spelling of 21221112001057 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twelve million, one thousand, fifty-seven".