10100111001073 has 2 divisors, whose sum is σ = 10100111001074. Its totient is φ = 10100111001072.

The previous prime is 10100111001049. The next prime is 10100111001103. The reversal of 10100111001073 is 37010011100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9935463331249 + 164647669824 = 3152057^2 + 405768^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100111001073 - 2²¹ = 10100108903921 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100111001373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055500536 + 5050055500537.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055500537).

Almost surely, 2^{10100111001073} is an apocalyptic number.

It is an amenable number.

10100111001073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111001073 is an equidigital number, since it uses as much as digits as its factorization.

10100111001073 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 16.

Adding to 10100111001073 its reverse (37010011100101), we get a palindrome (47110122101174).

The spelling of 10100111001073 in words is "ten trillion, one hundred billion, one hundred eleven million, one thousand, seventy-three".