211111221220011 has 48 divisors (see below), whose sum is σ = 352711864876800. Its totient is φ = 119183777452224.

The previous prime is 211111221220001. The next prime is 211111221220027. The reversal of 211111221220011 is 110022122111112.

It is a happy number.

211111221220011 is a `hidden beast` number, since 211 + 1 + 1 + 1 + 221 + 220 + 0 + 11 = 666.

It is not a de Polignac number, because 211111221220011 - 2⁷ = 211111221219883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211111221220001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41915221 + ... + 46680918.

It is an arithmetic number, because the mean of its divisors is an integer number (7348163851600).

Almost surely, 2^{211111221220011} is an apocalyptic number.

211111221220011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211111221220011 is a deficient number, since it is larger than the sum of its proper divisors (141600643656789).

211111221220011 is a wasteful number, since it uses less digits than its factorization.

211111221220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88596608 (or 88596605 counting only the distinct ones).

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

Adding to 211111221220011 its reverse (110022122111112), we get a palindrome (321133343331123).

The spelling of 211111221220011 in words is "two hundred eleven trillion, one hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, eleven".