211111133232111 has 32 divisors (see below), whose sum is σ = 322586129940480. Its totient is φ = 120300171435264.

The previous prime is 211111133232061. The next prime is 211111133232143. The reversal of 211111133232111 is 111232331111112.

It is not a de Polignac number, because 211111133232111 - 2¹⁴ = 211111133215727 is a prime.

It is a super-2 number, since 2×211111133232111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211111133232211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46818481 + ... + 51129173.

It is an arithmetic number, because the mean of its divisors is an integer number (10080816560640).

Almost surely, 2^{211111133232111} is an apocalyptic number.

211111133232111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211111133232111 is a deficient number, since it is larger than the sum of its proper divisors (111474996708369).

211111133232111 is a wasteful number, since it uses less digits than its factorization.

211111133232111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317175.

The product of its digits is 216, while the sum is 24.

Adding to 211111133232111 its reverse (111232331111112), we get a palindrome (322343464343223).

The spelling of 211111133232111 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred thirty-three million, two hundred thirty-two thousand, one hundred eleven".