100011001011161 has 2 divisors, whose sum is σ = 100011001011162. Its totient is φ = 100011001011160.

The previous prime is 100011001011049. The next prime is 100011001011167. The reversal of 100011001011161 is 161110100110001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56690659662400 + 43320341348761 = 7529320^2 + 6581819^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011001011161 - 2³⁰ = 100009927269337 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011001011167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500505580 + 50005500505581.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500505581).

Almost surely, 2^{100011001011161} is an apocalyptic number.

It is an amenable number.

100011001011161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011001011161 is an equidigital number, since it uses as much as digits as its factorization.

100011001011161 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 14.

Adding to 100011001011161 its reverse (161110100110001), we get a palindrome (261121101121162).

The spelling of 100011001011161 in words is "one hundred trillion, eleven billion, one million, eleven thousand, one hundred sixty-one".