112201112102001 has 48 divisors (see below), whose sum is σ = 170523741931200. Its totient is φ = 65411562617856.

The previous prime is 112201112101997. The next prime is 112201112102029. The reversal of 112201112102001 is 100201211102211.

It is a happy number.

It is not a de Polignac number, because 112201112102001 - 2² = 112201112101997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112201112109001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869920645 + ... + 870049613.

It is an arithmetic number, because the mean of its divisors is an integer number (3552577956900).

Almost surely, 2^{112201112102001} is an apocalyptic number.

It is an amenable number.

112201112102001 is a deficient number, since it is larger than the sum of its proper divisors (58322629829199).

112201112102001 is a wasteful number, since it uses less digits than its factorization.

112201112102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219330 (or 219317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112201112102001 its reverse (100201211102211), we get a palindrome (212402323204212).

The spelling of 112201112102001 in words is "one hundred twelve trillion, two hundred one billion, one hundred twelve million, one hundred two thousand, one".