100000100001161 has 2 divisors, whose sum is σ = 100000100001162. Its totient is φ = 100000100001160.

The previous prime is 100000100001143. The next prime is 100000100001211. The reversal of 100000100001161 is 161100001000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98593361677561 + 1406738323600 = 9929419^2 + 1186060^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000100001161 - 2³⁸ = 99725222094217 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000100301161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050000580 + 50000050000581.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050000581).

Almost surely, 2^{100000100001161} is an apocalyptic number.

It is an amenable number.

100000100001161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000100001161 is an equidigital number, since it uses as much as digits as its factorization.

100000100001161 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 11.

Adding to 100000100001161 its reverse (161100001000001), we get a palindrome (261100101001162).

The spelling of 100000100001161 in words is "one hundred trillion, one hundred million, one thousand, one hundred sixty-one".