100001121160001 has 2 divisors, whose sum is σ = 100001121160002. Its totient is φ = 100001121160000.

The previous prime is 100001121159899. The next prime is 100001121160019. The reversal of 100001121160001 is 100061121100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89698401413776 + 10302719746225 = 9470924^2 + 3209785^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001121160001 - 2²⁶ = 100001054051137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100001121180001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000560580000 + 50000560580001.

It is an arithmetic number, because the mean of its divisors is an integer number (50000560580001).

Almost surely, 2^{100001121160001} is an apocalyptic number.

It is an amenable number.

100001121160001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001121160001 is an equidigital number, since it uses as much as digits as its factorization.

100001121160001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100001121160001 its reverse (100061121100001), we get a palindrome (200062242260002).

The spelling of 100001121160001 in words is "one hundred trillion, one billion, one hundred twenty-one million, one hundred sixty thousand, one".