10000101073 has 2 divisors, whose sum is σ = 10000101074. Its totient is φ = 10000101072.

The previous prime is 10000100987. The next prime is 10000101077. The reversal of 10000101073 is 37010100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6656601744 + 3343499329 = 81588^2 + 57823^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000101073 - 2³³ = 1410166481 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000101077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050536 + 5000050537.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050537).

Almost surely, 2^10000101073 is an apocalyptic number.

It is an amenable number.

10000101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101073 is an equidigital number, since it uses as much as digits as its factorization.

10000101073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 13.

Adding to 10000101073 its reverse (37010100001), we get a palindrome (47010201074).

The spelling of 10000101073 in words is "ten billion, one hundred one thousand, seventy-three".