10102222101977 has 2 divisors, whose sum is σ = 10102222101978. Its totient is φ = 10102222101976.

The previous prime is 10102222101913. The next prime is 10102222102019. The reversal of 10102222101977 is 77910122220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10101692595856 + 529506121 = 3178316^2 + 23011^2 .

It is an emirp because it is prime and its reverse (77910122220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102222101977 - 2⁶ = 10102222101913 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102222101277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051111050988 + 5051111050989.

It is an arithmetic number, because the mean of its divisors is an integer number (5051111050989).

Almost surely, 2^{10102222101977} is an apocalyptic number.

It is an amenable number.

10102222101977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102222101977 is an equidigital number, since it uses as much as digits as its factorization.

10102222101977 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 10102222101977 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, one hundred one thousand, nine hundred seventy-seven".