22777889922101 has 2 divisors, whose sum is σ = 22777889922102. Its totient is φ = 22777889922100.

The previous prime is 22777889922079. The next prime is 22777889922113. The reversal of 22777889922101 is 10122998877722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18832605519025 + 3945284403076 = 4339655^2 + 1986274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22777889922101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22777889922401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11388944961050 + 11388944961051.

It is an arithmetic number, because the mean of its divisors is an integer number (11388944961051).

Almost surely, 2^{22777889922101} is an apocalyptic number.

It is an amenable number.

22777889922101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22777889922101 is an equidigital number, since it uses as much as digits as its factorization.

22777889922101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28449792, while the sum is 65.

The spelling of 22777889922101 in words is "twenty-two trillion, seven hundred seventy-seven billion, eight hundred eighty-nine million, nine hundred twenty-two thousand, one hundred one".