10202000122057 has 2 divisors, whose sum is σ = 10202000122058. Its totient is φ = 10202000122056.

The previous prime is 10202000122007. The next prime is 10202000122087. The reversal of 10202000122057 is 75022100020201.

10202000122057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10082079202441 + 119920919616 = 3175229^2 + 346296^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202000122057 - 2²³ = 10201991733449 is a prime.

It is a super-2 number, since 2×10202000122057² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10202000122007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101000061028 + 5101000061029.

It is an arithmetic number, because the mean of its divisors is an integer number (5101000061029).

Almost surely, 2^{10202000122057} is an apocalyptic number.

It is an amenable number.

10202000122057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202000122057 is an equidigital number, since it uses as much as digits as its factorization.

10202000122057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 22.

Adding to 10202000122057 its reverse (75022100020201), we get a palindrome (85224100142258).

The spelling of 10202000122057 in words is "ten trillion, two hundred two billion, one hundred twenty-two thousand, fifty-seven".