2101101110161 has 2 divisors, whose sum is σ = 2101101110162. Its totient is φ = 2101101110160.

The previous prime is 2101101110149. The next prime is 2101101110203. The reversal of 2101101110161 is 1610111011012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1124055846225 + 977045263936 = 1060215^2 + 988456^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101101110161 - 2¹⁵ = 2101101077393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101101110261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550555080 + 1050550555081.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550555081).

Almost surely, 2^{2101101110161} is an apocalyptic number.

It is an amenable number.

2101101110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101101110161 is an equidigital number, since it uses as much as digits as its factorization.

2101101110161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 2101101110161 its reverse (1610111011012), we get a palindrome (3711212121173).

The spelling of 2101101110161 in words is "two trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred sixty-one".