112000002111121 has 2 divisors, whose sum is σ = 112000002111122. Its totient is φ = 112000002111120.

The previous prime is 112000002111113. The next prime is 112000002111139. The reversal of 112000002111121 is 121111200000211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111399897798225 + 600104312896 = 10554615^2 + 774664^2 .

It is a cyclic number.

It is not a de Polignac number, because 112000002111121 - 2³ = 112000002111113 is a prime.

It is a super-2 number, since 2×112000002111121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112000002111191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000001055560 + 56000001055561.

It is an arithmetic number, because the mean of its divisors is an integer number (56000001055561).

Almost surely, 2^{112000002111121} is an apocalyptic number.

It is an amenable number.

112000002111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112000002111121 is an equidigital number, since it uses as much as digits as its factorization.

112000002111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112000002111121 its reverse (121111200000211), we get a palindrome (233111202111332).

The spelling of 112000002111121 in words is "one hundred twelve trillion, two million, one hundred eleven thousand, one hundred twenty-one".