101001102001073 has 2 divisors, whose sum is σ = 101001102001074. Its totient is φ = 101001102001072.

The previous prime is 101001102000919. The next prime is 101001102001133. The reversal of 101001102001073 is 370100201100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100554225794929 + 446876206144 = 10027673^2 + 668488^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001102001073 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001102001673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500551000536 + 50500551000537.

It is an arithmetic number, because the mean of its divisors is an integer number (50500551000537).

Almost surely, 2^{101001102001073} is an apocalyptic number.

It is an amenable number.

101001102001073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001102001073 is an equidigital number, since it uses as much as digits as its factorization.

101001102001073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 101001102001073 its reverse (370100201100101), we get a palindrome (471101303101174).

The spelling of 101001102001073 in words is "one hundred one trillion, one billion, one hundred two million, one thousand, seventy-three".