10222120001057 has 2 divisors, whose sum is σ = 10222120001058. Its totient is φ = 10222120001056.

The previous prime is 10222120000999. The next prime is 10222120001063. The reversal of 10222120001057 is 75010002122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8904500689681 + 1317619311376 = 2984041^2 + 1147876^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222120001057 - 2⁸ = 10222120000801 is a prime.

It is a super-2 number, since 2×10222120001057² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10222120001557) 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, 5111060000528 + 5111060000529.

It is an arithmetic number, because the mean of its divisors is an integer number (5111060000529).

Almost surely, 2^{10222120001057} is an apocalyptic number.

It is an amenable number.

10222120001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222120001057 is an equidigital number, since it uses as much as digits as its factorization.

10222120001057 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 23.

Adding to 10222120001057 its reverse (75010002122201), we get a palindrome (85232122123258).

The spelling of 10222120001057 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty million, one thousand, fifty-seven".