101011010110973 has 2 divisors, whose sum is σ = 101011010110974. Its totient is φ = 101011010110972.

The previous prime is 101011010110949. The next prime is 101011010111017. The reversal of 101011010110973 is 379011010110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70359584115844 + 30651425995129 = 8388062^2 + 5536373^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011010110973 - 2¹⁶ = 101011010045437 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 (101011010130973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505505055486 + 50505505055487.

It is an arithmetic number, because the mean of its divisors is an integer number (50505505055487).

Almost surely, 2^{101011010110973} is an apocalyptic number.

It is an amenable number.

101011010110973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011010110973 is an equidigital number, since it uses as much as digits as its factorization.

101011010110973 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 101011010110973 in words is "one hundred one trillion, eleven billion, ten million, one hundred ten thousand, nine hundred seventy-three".