10012122161 has 2 divisors, whose sum is σ = 10012122162. Its totient is φ = 10012122160.

The previous prime is 10012122119. The next prime is 10012122179. The reversal of 10012122161 is 16122121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8827729936 + 1184392225 = 93956^2 + 34415^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012122161 - 2¹⁴ = 10012105777 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006061080 + 5006061081.

It is an arithmetic number, because the mean of its divisors is an integer number (5006061081).

Almost surely, 2^10012122161 is an apocalyptic number.

It is an amenable number.

10012122161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012122161 is an equidigital number, since it uses as much as digits as its factorization.

10012122161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10012122161 its reverse (16122121001), we get a palindrome (26134243162).

The spelling of 10012122161 in words is "ten billion, twelve million, one hundred twenty-two thousand, one hundred sixty-one".