12201112111001 has 12 divisors (see below), whose sum is σ = 13453446235236. Its totient is φ = 11056929781920.

The previous prime is 12201112110937. The next prime is 12201112111073. The reversal of 12201112111001 is 10011121110221.

It can be written as a sum of positive squares in 2 ways, for example, as 4074342250000 + 8126769861001 = 2018500^2 + 2850749^2 .

It is not a de Polignac number, because 12201112111001 - 2⁶ = 12201112110937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201112111301) 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, 159008390 + ... + 159085103.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120519603).

Almost surely, 2^{12201112111001} is an apocalyptic number.

12201112111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201112111001 is a deficient number, since it is larger than the sum of its proper divisors (1252334124235).

12201112111001 is a wasteful number, since it uses less digits than its factorization.

12201112111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318093832 (or 318093821 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12201112111001 its reverse (10011121110221), we get a palindrome (22212233221222).

The spelling of 12201112111001 in words is "twelve trillion, two hundred one billion, one hundred twelve million, one hundred eleven thousand, one".