10222210220113 has 2 divisors, whose sum is σ = 10222210220114. Its totient is φ = 10222210220112.

The previous prime is 10222210220071. The next prime is 10222210220153. The reversal of 10222210220113 is 31102201222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10180515438864 + 41694781249 = 3190692^2 + 204193^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222210220113 - 2¹⁷ = 10222210089041 is a prime.

It is not a weakly prime, because it can be changed into another prime (10222210220153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111105110056 + 5111105110057.

It is an arithmetic number, because the mean of its divisors is an integer number (5111105110057).

Almost surely, 2^{10222210220113} is an apocalyptic number.

It is an amenable number.

10222210220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222210220113 is an equidigital number, since it uses as much as digits as its factorization.

10222210220113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10222210220113 its reverse (31102201222201), we get a palindrome (41324411442314).

The spelling of 10222210220113 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, two hundred twenty thousand, one hundred thirteen".