22202002100261 has 2 divisors, whose sum is σ = 22202002100262. Its totient is φ = 22202002100260.

The previous prime is 22202002100221. The next prime is 22202002100269. The reversal of 22202002100261 is 16200120020222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13841264548225 + 8360737552036 = 3720385^2 + 2891494^2 .

It is a cyclic number.

It is not a de Polignac number, because 22202002100261 - 2¹⁸ = 22202001838117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22202002100269) 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, 11101001050130 + 11101001050131.

It is an arithmetic number, because the mean of its divisors is an integer number (11101001050131).

Almost surely, 2^{22202002100261} is an apocalyptic number.

It is an amenable number.

22202002100261 is a deficient number, since it is larger than the sum of its proper divisors (1).

22202002100261 is an equidigital number, since it uses as much as digits as its factorization.

22202002100261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22202002100261 its reverse (16200120020222), we get a palindrome (38402122120483).

The spelling of 22202002100261 in words is "twenty-two trillion, two hundred two billion, two million, one hundred thousand, two hundred sixty-one".