23001002101073 has 2 divisors, whose sum is σ = 23001002101074. Its totient is φ = 23001002101072.

The previous prime is 23001002101067. The next prime is 23001002101087. The reversal of 23001002101073 is 37010120010032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22668958783249 + 332043317824 = 4761193^2 + 576232^2 .

It is a cyclic number.

It is not a de Polignac number, because 23001002101073 - 2¹⁸ = 23001001838929 is a prime.

It is not a weakly prime, because it can be changed into another prime (23001002101093) 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, 11500501050536 + 11500501050537.

It is an arithmetic number, because the mean of its divisors is an integer number (11500501050537).

Almost surely, 2^{23001002101073} is an apocalyptic number.

It is an amenable number.

23001002101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

23001002101073 is an equidigital number, since it uses as much as digits as its factorization.

23001002101073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The spelling of 23001002101073 in words is "twenty-three trillion, one billion, two million, one hundred one thousand, seventy-three".