112102202211201 has 12 divisors (see below), whose sum is σ = 161926747771620. Its totient is φ = 74734180899840.

The previous prime is 112102202211173. The next prime is 112102202211281. The reversal of 112102202211201 is 102112202201211.

112102202211201 is a `hidden beast` number, since 1 + 1 + 21 + 0 + 220 + 221 + 1 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27648877568400 + 84453324642801 = 5258220^2 + 9189849^2 .

It is not a de Polignac number, because 112102202211201 - 2¹⁹ = 112102201686913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112102202211281) 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, 50569120 + ... + 52739361.

It is an arithmetic number, because the mean of its divisors is an integer number (13493895647635).

Almost surely, 2^{112102202211201} is an apocalyptic number.

It is an amenable number.

112102202211201 is a deficient number, since it is larger than the sum of its proper divisors (49824545560419).

112102202211201 is a wasteful number, since it uses less digits than its factorization.

112102202211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103429056 (or 103429053 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112102202211201 its reverse (102112202201211), we get a palindrome (214214404412412).

The spelling of 112102202211201 in words is "one hundred twelve trillion, one hundred two billion, two hundred two million, two hundred eleven thousand, two hundred one".