10001000111161 has 2 divisors, whose sum is σ = 10001000111162. Its totient is φ = 10001000111160.

The previous prime is 10001000111149. The next prime is 10001000111197. The reversal of 10001000111161 is 16111100010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5020091189136 + 4980908922025 = 2240556^2 + 2231795^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001000111161 - 2²⁷ = 10000865893433 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001000112161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500055580 + 5000500055581.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500055581).

Almost surely, 2^{10001000111161} is an apocalyptic number.

It is an amenable number.

10001000111161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001000111161 is an equidigital number, since it uses as much as digits as its factorization.

10001000111161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10001000111161 its reverse (16111100010001), we get a palindrome (26112100121162).

The spelling of 10001000111161 in words is "ten trillion, one billion, one hundred eleven thousand, one hundred sixty-one".