101101110000973 has 2 divisors, whose sum is σ = 101101110000974. Its totient is φ = 101101110000972.

The previous prime is 101101110000959. The next prime is 101101110001009. The reversal of 101101110000973 is 379000011101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51055983750409 + 50045126250564 = 7145347^2 + 7074258^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101110000973 - 2⁴⁵ = 65916737912141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101110000173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550555000486 + 50550555000487.

It is an arithmetic number, because the mean of its divisors is an integer number (50550555000487).

Almost surely, 2^{101101110000973} is an apocalyptic number.

It is an amenable number.

101101110000973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101110000973 is an equidigital number, since it uses as much as digits as its factorization.

101101110000973 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 25.

The spelling of 101101110000973 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, nine hundred seventy-three", and thus it is an aban number.