101102222111857 has 2 divisors, whose sum is σ = 101102222111858. Its totient is φ = 101102222111856.

The previous prime is 101102222111819. The next prime is 101102222111893. The reversal of 101102222111857 is 758111222201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94300432927281 + 6801789184576 = 9710841^2 + 2608024^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102222111857 - 2⁷ = 101102222111729 is a prime.

It is not a weakly prime, because it can be changed into another prime (101102222111897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551111055928 + 50551111055929.

It is an arithmetic number, because the mean of its divisors is an integer number (50551111055929).

Almost surely, 2^{101102222111857} is an apocalyptic number.

It is an amenable number.

101102222111857 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102222111857 is an equidigital number, since it uses as much as digits as its factorization.

101102222111857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4480, while the sum is 34.

Adding to 101102222111857 its reverse (758111222201101), we get a palindrome (859213444312958).

The spelling of 101102222111857 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-two million, one hundred eleven thousand, eight hundred fifty-seven".