10022110101961 has 2 divisors, whose sum is σ = 10022110101962. Its totient is φ = 10022110101960.

The previous prime is 10022110101953. The next prime is 10022110102027. The reversal of 10022110101961 is 16910101122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10009984788736 + 12125313225 = 3163856^2 + 110115^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022110101961 - 2³ = 10022110101953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022110101911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011055050980 + 5011055050981.

It is an arithmetic number, because the mean of its divisors is an integer number (5011055050981).

Almost surely, 2^{10022110101961} is an apocalyptic number.

It is an amenable number.

10022110101961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022110101961 is an equidigital number, since it uses as much as digits as its factorization.

10022110101961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 25.

Adding to 10022110101961 its reverse (16910101122001), we get a palindrome (26932211223962).

The spelling of 10022110101961 in words is "ten trillion, twenty-two billion, one hundred ten million, one hundred one thousand, nine hundred sixty-one".