12121100112161 has 2 divisors, whose sum is σ = 12121100112162. Its totient is φ = 12121100112160.

The previous prime is 12121100112157. The next prime is 12121100112179. The reversal of 12121100112161 is 16121100112121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11075683840225 + 1045416271936 = 3328015^2 + 1022456^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121100112161 - 2² = 12121100112157 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121100112181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060550056080 + 6060550056081.

It is an arithmetic number, because the mean of its divisors is an integer number (6060550056081).

Almost surely, 2^{12121100112161} is an apocalyptic number.

It is an amenable number.

12121100112161 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121100112161 is an equidigital number, since it uses as much as digits as its factorization.

12121100112161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 12121100112161 its reverse (16121100112121), we get a palindrome (28242200224282).

The spelling of 12121100112161 in words is "twelve trillion, one hundred twenty-one billion, one hundred million, one hundred twelve thousand, one hundred sixty-one".