112211111121201 has 10 divisors (see below), whose sum is σ = 167624005502162. Its totient is φ = 74807407414080.

The previous prime is 112211111121191. The next prime is 112211111121253. The reversal of 112211111121201 is 102121111112211.

112211111121201 is a `hidden beast` number, since 11 + 221 + 1 + 111 + 121 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96252875831025 + 15958235290176 = 9810855^2 + 3994776^2 .

It is not a de Polignac number, because 112211111121201 - 2⁷ = 112211111121073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112211111121281) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 692661179680 + ... + 692661179841.

Almost surely, 2^{112211111121201} is an apocalyptic number.

It is an amenable number.

112211111121201 is a deficient number, since it is larger than the sum of its proper divisors (55412894380961).

112211111121201 is an equidigital number, since it uses as much as digits as its factorization.

112211111121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385322359533 (or 1385322359524 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 112211111121201 its reverse (102121111112211), we get a palindrome (214332222233412).

The spelling of 112211111121201 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred eleven million, one hundred twenty-one thousand, two hundred one".