101210211199073 has 2 divisors, whose sum is σ = 101210211199074. Its totient is φ = 101210211199072.

The previous prime is 101210211199049. The next prime is 101210211199159. The reversal of 101210211199073 is 370991112012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50806345412449 + 50403865786624 = 7127857^2 + 7099568^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210211199073 - 2³⁰ = 101209137457249 is a prime.

It is not a weakly prime, because it can be changed into another prime (101210211192073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605105599536 + 50605105599537.

It is an arithmetic number, because the mean of its divisors is an integer number (50605105599537).

Almost surely, 2^{101210211199073} is an apocalyptic number.

It is an amenable number.

101210211199073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210211199073 is an equidigital number, since it uses as much as digits as its factorization.

101210211199073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 38.

The spelling of 101210211199073 in words is "one hundred one trillion, two hundred ten billion, two hundred eleven million, one hundred ninety-nine thousand, seventy-three".