101110949857 has 2 divisors, whose sum is σ = 101110949858. Its totient is φ = 101110949856.

The previous prime is 101110949843. The next prime is 101110949881. The reversal of 101110949857 is 758949011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93777425361 + 7333524496 = 306231^2 + 85636^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110949857 - 2³¹ = 98963466209 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110949887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555474928 + 50555474929.

It is an arithmetic number, because the mean of its divisors is an integer number (50555474929).

Almost surely, 2^101110949857 is an apocalyptic number.

It is an amenable number.

101110949857 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110949857 is an equidigital number, since it uses as much as digits as its factorization.

101110949857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 46.

The spelling of 101110949857 in words is "one hundred one billion, one hundred ten million, nine hundred forty-nine thousand, eight hundred fifty-seven".