101010120161 has 2 divisors, whose sum is σ = 101010120162. Its totient is φ = 101010120160.

The previous prime is 101010120131. The next prime is 101010120191. The reversal of 101010120161 is 161021010101.

It is a balanced prime because it is at equal distance from previous prime (101010120131) and next prime (101010120191).

It can be written as a sum of positive squares in only one way, i.e., 64900619536 + 36109500625 = 254756^2 + 190025^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010120161 - 2¹⁸ = 101009858017 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010120131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505060080 + 50505060081.

It is an arithmetic number, because the mean of its divisors is an integer number (50505060081).

Almost surely, 2^101010120161 is an apocalyptic number.

It is an amenable number.

101010120161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010120161 is an equidigital number, since it uses as much as digits as its factorization.

101010120161 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 101010120161 its reverse (161021010101), we get a palindrome (262031130262).

The spelling of 101010120161 in words is "one hundred one billion, ten million, one hundred twenty thousand, one hundred sixty-one".