111200012122121 has 24 divisors (see below), whose sum is σ = 120936015535896. Its totient is φ = 102199506140160.

The previous prime is 111200012122081. The next prime is 111200012122123. The reversal of 111200012122121 is 121221210002111.

It can be written as a sum of positive squares in 12 ways, for example, as 19547363137600 + 91652648984521 = 4421240^2 + 9573539^2 .

It is not a de Polignac number, because 111200012122121 - 2⁶ = 111200012122057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111200012122121.

It is not an unprimeable number, because it can be changed into a prime (111200012122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202270811 + ... + 202819823.

It is an arithmetic number, because the mean of its divisors is an integer number (5039000647329).

Almost surely, 2^{111200012122121} is an apocalyptic number.

It is an amenable number.

111200012122121 is a deficient number, since it is larger than the sum of its proper divisors (9736003413775).

111200012122121 is a wasteful number, since it uses less digits than its factorization.

111200012122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554253 (or 554240 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 111200012122121 its reverse (121221210002111), we get a palindrome (232421222124232).

The spelling of 111200012122121 in words is "one hundred eleven trillion, two hundred billion, twelve million, one hundred twenty-two thousand, one hundred twenty-one".