211111110012201 has 48 divisors (see below), whose sum is σ = 346729522366656. Its totient is φ = 113528647056384.

The previous prime is 211111110012191. The next prime is 211111110012221. The reversal of 211111110012201 is 102210011111112.

It is not a de Polignac number, because 211111110012201 - 2⁶ = 211111110012137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211111110012221) 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 47 ways as a sum of consecutive naturals, for example, 24378990 + ... + 31883496.

It is an arithmetic number, because the mean of its divisors is an integer number (7223531715972).

Almost surely, 2^{211111110012201} is an apocalyptic number.

211111110012201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211111110012201 is a deficient number, since it is larger than the sum of its proper divisors (135618412354455).

211111110012201 is a wasteful number, since it uses less digits than its factorization.

211111110012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515798 (or 7515791 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211111110012201 its reverse (102210011111112), we get a palindrome (313321121123313).

The spelling of 211111110012201 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred ten million, twelve thousand, two hundred one".