77910122220101 has 2 divisors, whose sum is σ = 77910122220102. Its totient is φ = 77910122220100.

The previous prime is 77910122220061. The next prime is 77910122220103. The reversal of 77910122220101 is 10102222101977.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77910103288900 + 18931201 = 8826670^2 + 4351^2 .

It is an emirp because it is prime and its reverse (10102222101977) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77910122220101 is a prime.

Together with 77910122220103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77910122220103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38955061110050 + 38955061110051.

It is an arithmetic number, because the mean of its divisors is an integer number (38955061110051).

Almost surely, 2^{77910122220101} is an apocalyptic number.

It is an amenable number.

77910122220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

77910122220101 is an equidigital number, since it uses as much as digits as its factorization.

77910122220101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056, while the sum is 35.

The spelling of 77910122220101 in words is "seventy-seven trillion, nine hundred ten billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".