101012110110949 has 2 divisors, whose sum is σ = 101012110110950. Its totient is φ = 101012110110948.

The previous prime is 101012110110943. The next prime is 101012110111049. The reversal of 101012110110949 is 949011011210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69071358002724 + 31940752108225 = 8310918^2 + 5651615^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012110110949 - 2³ = 101012110110941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101012110110949.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012110110941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506055055474 + 50506055055475.

It is an arithmetic number, because the mean of its divisors is an integer number (50506055055475).

Almost surely, 2^{101012110110949} is an apocalyptic number.

It is an amenable number.

101012110110949 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012110110949 is an equidigital number, since it uses as much as digits as its factorization.

101012110110949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 101012110110949 in words is "one hundred one trillion, twelve billion, one hundred ten million, one hundred ten thousand, nine hundred forty-nine".