112002242200211 has 24 divisors (see below), whose sum is σ = 130568449980192. Its totient is φ = 95796643219200.

The previous prime is 112002242200151. The next prime is 112002242200213.

It is a happy number.

112002242200211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112002242200211 - 2²² = 112002238005907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112002242200213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329708486 + ... + 330048011.

It is an arithmetic number, because the mean of its divisors is an integer number (5440352082508).

Almost surely, 2^{112002242200211} is an apocalyptic number.

112002242200211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112002242200211 is a deficient number, since it is larger than the sum of its proper divisors (18566207779981).

112002242200211 is a wasteful number, since it uses less digits than its factorization.

112002242200211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659756603 (or 659756592 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 112002242200211 in words is "one hundred twelve trillion, two billion, two hundred forty-two million, two hundred thousand, two hundred eleven".