112000011201 has 32 divisors (see below), whose sum is σ = 189200632320. Its totient is φ = 64868781312.

The previous prime is 112000011191. The next prime is 112000011271. The reversal of 112000011201 is 102110000211.

It is a happy number.

It is not a de Polignac number, because 112000011201 - 2¹⁹ = 111999486913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112000011271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9378985 + ... + 9390918.

It is an arithmetic number, because the mean of its divisors is an integer number (5912519760).

Almost surely, 2^112000011201 is an apocalyptic number.

It is an amenable number.

112000011201 is a deficient number, since it is larger than the sum of its proper divisors (77200621119).

112000011201 is a wasteful number, since it uses less digits than its factorization.

112000011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18769942 (or 18769936 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112000011201 its reverse (102110000211), we get a palindrome (214110011412).

The spelling of 112000011201 in words is "one hundred twelve billion, eleven thousand, two hundred one".