101100011109973 has 2 divisors, whose sum is σ = 101100011109974. Its totient is φ = 101100011109972.

The previous prime is 101100011109961. The next prime is 101100011110009. The reversal of 101100011109973 is 379901110001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100968272600209 + 131738509764 = 10048297^2 + 362958^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100011109973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100011109373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550005554986 + 50550005554987.

It is an arithmetic number, because the mean of its divisors is an integer number (50550005554987).

Almost surely, 2^{101100011109973} is an apocalyptic number.

It is an amenable number.

101100011109973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100011109973 is an equidigital number, since it uses as much as digits as its factorization.

101100011109973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 34.

The spelling of 101100011109973 in words is "one hundred one trillion, one hundred billion, eleven million, one hundred nine thousand, nine hundred seventy-three".