10100120161 has 2 divisors, whose sum is σ = 10100120162. Its totient is φ = 10100120160.

The previous prime is 10100120159. The next prime is 10100120207. The reversal of 10100120161 is 16102100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9226563025 + 873557136 = 96055^2 + 29556^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100120161 - 2¹ = 10100120159 is a prime.

Together with 10100120159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10100124161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050060080 + 5050060081.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060081).

Almost surely, 2^10100120161 is an apocalyptic number.

It is an amenable number.

10100120161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100120161 is an equidigital number, since it uses as much as digits as its factorization.

10100120161 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 13.

Adding to 10100120161 its reverse (16102100101), we get a palindrome (26202220262).

The spelling of 10100120161 in words is "ten billion, one hundred million, one hundred twenty thousand, one hundred sixty-one".