101201121220973 has 2 divisors, whose sum is σ = 101201121220974. Its totient is φ = 101201121220972.

The previous prime is 101201121220963. The next prime is 101201121220987. The reversal of 101201121220973 is 379022121102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87005203764964 + 14195917456009 = 9327658^2 + 3767747^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201121220973 - 2²⁴ = 101201104443757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201121220963) 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, 50600560610486 + 50600560610487.

It is an arithmetic number, because the mean of its divisors is an integer number (50600560610487).

Almost surely, 2^{101201121220973} is an apocalyptic number.

It is an amenable number.

101201121220973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201121220973 is an equidigital number, since it uses as much as digits as its factorization.

101201121220973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 101201121220973 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty thousand, nine hundred seventy-three".