111112212123201 has 64 divisors (see below), whose sum is σ = 164576464588800. Its totient is φ = 66362394599424.

The previous prime is 111112212123193. The next prime is 111112212123203. The reversal of 111112212123201 is 102321212211111.

It is not a de Polignac number, because 111112212123201 - 2³ = 111112212123193 is a prime.

It is a super-3 number, since 3×111112212123201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111112212123203) 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 in 63 ways as a sum of consecutive naturals, for example, 993232396 + ... + 993344258.

It is an arithmetic number, because the mean of its divisors is an integer number (2571507259200).

Almost surely, 2^{111112212123201} is an apocalyptic number.

It is an amenable number.

111112212123201 is a deficient number, since it is larger than the sum of its proper divisors (53464252465599).

111112212123201 is a wasteful number, since it uses less digits than its factorization.

111112212123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120510.

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 111112212123201 its reverse (102321212211111), we get a palindrome (213433424334312).

The spelling of 111112212123201 in words is "one hundred eleven trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty-three thousand, two hundred one".