100111122222161 has 2 divisors, whose sum is σ = 100111122222162. Its totient is φ = 100111122222160.

The previous prime is 100111122222071. The next prime is 100111122222197. The reversal of 100111122222161 is 161222221111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90779563564561 + 9331558657600 = 9527831^2 + 3054760^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111122222161 - 2⁴⁶ = 29742378044497 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111122422161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055561111080 + 50055561111081.

It is an arithmetic number, because the mean of its divisors is an integer number (50055561111081).

Almost surely, 2^{100111122222161} is an apocalyptic number.

It is an amenable number.

100111122222161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111122222161 is an equidigital number, since it uses as much as digits as its factorization.

100111122222161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 100111122222161 its reverse (161222221111001), we get a palindrome (261333343333162).

The spelling of 100111122222161 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred sixty-one".