22021012002257 has 2 divisors, whose sum is σ = 22021012002258. Its totient is φ = 22021012002256.

The previous prime is 22021012002203. The next prime is 22021012002259. The reversal of 22021012002257 is 75220021012022.

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., 19158794309776 + 2862217692481 = 4377076^2 + 1691809^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22021012002257 is a prime.

Together with 22021012002259, 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 (22021012002259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11010506001128 + 11010506001129.

It is an arithmetic number, because the mean of its divisors is an integer number (11010506001129).

Almost surely, 2^{22021012002257} is an apocalyptic number.

It is an amenable number.

22021012002257 is a deficient number, since it is larger than the sum of its proper divisors (1).

22021012002257 is an equidigital number, since it uses as much as digits as its factorization.

22021012002257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 26.

Adding to 22021012002257 its reverse (75220021012022), we get a palindrome (97241033014279).

The spelling of 22021012002257 in words is "twenty-two trillion, twenty-one billion, twelve million, two thousand, two hundred fifty-seven".