112111222101201 has 12 divisors (see below), whose sum is σ = 161940678855540. Its totient is φ = 74739777688800.

The previous prime is 112111222101181. The next prime is 112111222101257. The reversal of 112111222101201 is 102101222111211.

It is a happy number.

112111222101201 is a `hidden beast` number, since 1 + 1 + 211 + 122 + 210 + 120 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5739742642176 + 106371479459025 = 2395776^2 + 10313655^2 .

It is a de Polignac number, because none of the positive numbers 2^k-112111222101201 is a prime.

It is a super-2 number, since 2×112111222101201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112111222101401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85735486 + ... + 87033303.

It is an arithmetic number, because the mean of its divisors is an integer number (13495056571295).

Almost surely, 2^{112111222101201} is an apocalyptic number.

It is an amenable number.

112111222101201 is a deficient number, since it is larger than the sum of its proper divisors (49829456754339).

112111222101201 is a wasteful number, since it uses less digits than its factorization.

112111222101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172840896 (or 172840893 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112111222101201 its reverse (102101222111211), we get a palindrome (214212444212412).

The spelling of 112111222101201 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twenty-two million, one hundred one thousand, two hundred one".