101001101100161 has 2 divisors, whose sum is σ = 101001101100162. Its totient is φ = 101001101100160.

The previous prime is 101001101100103. The next prime is 101001101100173. The reversal of 101001101100161 is 161001101100101.

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., 94096188701761 + 6904912398400 = 9700319^2 + 2627720^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001101100161 - 2¹⁴ = 101001101083777 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001101100461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500550550080 + 50500550550081.

It is an arithmetic number, because the mean of its divisors is an integer number (50500550550081).

Almost surely, 2^{101001101100161} is an apocalyptic number.

It is an amenable number.

101001101100161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001101100161 is an equidigital number, since it uses as much as digits as its factorization.

101001101100161 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 101001101100161 its reverse (161001101100101), we get a palindrome (262002202200262).

The spelling of 101001101100161 in words is "one hundred one trillion, one billion, one hundred one million, one hundred thousand, one hundred sixty-one".