10120012010161 has 2 divisors, whose sum is σ = 10120012010162. Its totient is φ = 10120012010160.

The previous prime is 10120012010153. The next prime is 10120012010191. The reversal of 10120012010161 is 16101021002101.

10120012010161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9341770457761 + 778241552400 = 3056431^2 + 882180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120012010161 - 2³ = 10120012010153 is a prime.

It is a super-3 number, since 3×10120012010161³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10120012010111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060006005080 + 5060006005081.

It is an arithmetic number, because the mean of its divisors is an integer number (5060006005081).

Almost surely, 2^{10120012010161} is an apocalyptic number.

It is an amenable number.

10120012010161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120012010161 is an equidigital number, since it uses as much as digits as its factorization.

10120012010161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10120012010161 its reverse (16101021002101), we get a palindrome (26221033012262).

The spelling of 10120012010161 in words is "ten trillion, one hundred twenty billion, twelve million, ten thousand, one hundred sixty-one".