22101010121977 has 2 divisors, whose sum is σ = 22101010121978. Its totient is φ = 22101010121976.

The previous prime is 22101010121947. The next prime is 22101010121987. The reversal of 22101010121977 is 77912101010122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14824201748841 + 7276808373136 = 3850221^2 + 2697556^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101010121977 - 2²⁷ = 22100875904249 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101010121947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050505060988 + 11050505060989.

It is an arithmetic number, because the mean of its divisors is an integer number (11050505060989).

Almost surely, 2^{22101010121977} is an apocalyptic number.

It is an amenable number.

22101010121977 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101010121977 is an equidigital number, since it uses as much as digits as its factorization.

22101010121977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 34.

The spelling of 22101010121977 in words is "twenty-two trillion, one hundred one billion, ten million, one hundred twenty-one thousand, nine hundred seventy-seven".