100110010101161 has 2 divisors, whose sum is σ = 100110010101162. Its totient is φ = 100110010101160.

The previous prime is 100110010101133. The next prime is 100110010101169. The reversal of 100110010101161 is 161101010011001.

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., 56181680757136 + 43928329344025 = 7495444^2 + 6627845^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110010101161 - 2⁴² = 95711963590057 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110010101169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005050580 + 50055005050581.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005050581).

Almost surely, 2^{100110010101161} is an apocalyptic number.

It is an amenable number.

100110010101161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110010101161 is an equidigital number, since it uses as much as digits as its factorization.

100110010101161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 100110010101161 its reverse (161101010011001), we get a palindrome (261211020112162).

The spelling of 100110010101161 in words is "one hundred trillion, one hundred ten billion, ten million, one hundred one thousand, one hundred sixty-one".