10101011110973 has 2 divisors, whose sum is σ = 10101011110974. Its totient is φ = 10101011110972.

The previous prime is 10101011110777. The next prime is 10101011110999. The reversal of 10101011110973 is 37901111010101.

It is an a-pointer prime, because the next prime (10101011110999) can be obtained adding 10101011110973 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8637738634009 + 1463272476964 = 2939003^2 + 1209658^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101011110973 - 2³⁴ = 10083831241789 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101011110373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050505555486 + 5050505555487.

It is an arithmetic number, because the mean of its divisors is an integer number (5050505555487).

Almost surely, 2^{10101011110973} is an apocalyptic number.

It is an amenable number.

10101011110973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101011110973 is an equidigital number, since it uses as much as digits as its factorization.

10101011110973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 26.

The spelling of 10101011110973 in words is "ten trillion, one hundred one billion, eleven million, one hundred ten thousand, nine hundred seventy-three".