2221112111211 has 192 divisors, whose sum is σ = 3890719752192. Its totient is φ = 1194510240000.

The previous prime is 2221112111201. The next prime is 2221112111237. The reversal of 2221112111211 is 1121112111222.

It is a happy number.

2221112111211 is a `hidden beast` number, since 222 + 111 + 211 + 121 + 1 = 666.

It is not a de Polignac number, because 2221112111211 - 2⁷ = 2221112111083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2221112111201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4523649676 + ... + 4523650166.

It is an arithmetic number, because the mean of its divisors is an integer number (20264165376).

Almost surely, 2^{2221112111211} is an apocalyptic number.

2221112111211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2221112111211 is a deficient number, since it is larger than the sum of its proper divisors (1669607640981).

2221112111211 is a wasteful number, since it uses less digits than its factorization.

2221112111211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 971 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 2221112111211 its reverse (1121112111222), we get a palindrome (3342224222433).

The spelling of 2221112111211 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, two hundred eleven".