112103003112201 has 48 divisors (see below), whose sum is σ = 168505265260800. Its totient is φ = 71759485624320.

The previous prime is 112103003112173. The next prime is 112103003112227. The reversal of 112103003112201 is 102211300301211.

112103003112201 is a `hidden beast` number, since 1 + 1 + 210 + 300 + 31 + 122 + 0 + 1 = 666.

It is not a de Polignac number, because 112103003112201 - 2⁹ = 112103003111689 is a prime.

It is a super-3 number, since 3×112103003112201³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112103003113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295090825 + ... + 295470473.

It is an arithmetic number, because the mean of its divisors is an integer number (3510526359600).

Almost surely, 2^{112103003112201} is an apocalyptic number.

It is an amenable number.

112103003112201 is a deficient number, since it is larger than the sum of its proper divisors (56402262148599).

112103003112201 is a wasteful number, since it uses less digits than its factorization.

112103003112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392926 (or 392923 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112103003112201 its reverse (102211300301211), we get a palindrome (214314303413412).

The spelling of 112103003112201 in words is "one hundred twelve trillion, one hundred three billion, three million, one hundred twelve thousand, two hundred one".