101112011100973 has 2 divisors, whose sum is σ = 101112011100974. Its totient is φ = 101112011100972.

The previous prime is 101112011100941. The next prime is 101112011101093. The reversal of 101112011100973 is 379001110211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93618531894889 + 7493479206084 = 9675667^2 + 2737422^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112011100973 - 2⁵ = 101112011100941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112011100173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556005550486 + 50556005550487.

It is an arithmetic number, because the mean of its divisors is an integer number (50556005550487).

Almost surely, 2^{101112011100973} is an apocalyptic number.

It is an amenable number.

101112011100973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112011100973 is an equidigital number, since it uses as much as digits as its factorization.

101112011100973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 28.

The spelling of 101112011100973 in words is "one hundred one trillion, one hundred twelve billion, eleven million, one hundred thousand, nine hundred seventy-three".