10100001111073 has 2 divisors, whose sum is σ = 10100001111074. Its totient is φ = 10100001111072.

The previous prime is 10100001111007. The next prime is 10100001111077. The reversal of 10100001111073 is 37011110000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9955394317089 + 144606793984 = 3155217^2 + 380272^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001111073 - 2²¹ = 10099999013921 is a prime.

It is a super-2 number, since 2×10100001111073² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100001111077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000555536 + 5050000555537.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000555537).

Almost surely, 2^{10100001111073} is an apocalyptic number.

It is an amenable number.

10100001111073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001111073 is an equidigital number, since it uses as much as digits as its factorization.

10100001111073 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 10100001111073 its reverse (37011110000101), we get a palindrome (47111111111174).

The spelling of 10100001111073 in words is "ten trillion, one hundred billion, one million, one hundred eleven thousand, seventy-three".