101000102010161 has 2 divisors, whose sum is σ = 101000102010162. Its totient is φ = 101000102010160.

The previous prime is 101000102010089. The next prime is 101000102010193. The reversal of 101000102010161 is 161010201000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100639418886400 + 360683123761 = 10031920^2 + 600569^2 .

It is an emirp because it is prime and its reverse (161010201000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000102010161 - 2¹⁰ = 101000102009137 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000102018161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500051005080 + 50500051005081.

It is an arithmetic number, because the mean of its divisors is an integer number (50500051005081).

Almost surely, 2^{101000102010161} is an apocalyptic number.

It is an amenable number.

101000102010161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000102010161 is an equidigital number, since it uses as much as digits as its factorization.

101000102010161 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 14.

Adding to 101000102010161 its reverse (161010201000101), we get a palindrome (262010303010262).

The spelling of 101000102010161 in words is "one hundred one trillion, one hundred two million, ten thousand, one hundred sixty-one".