111000010112211 has 64 divisors (see below), whose sum is σ = 171022948079616. Its totient is φ = 63427621824000.

The previous prime is 111000010112207. The next prime is 111000010112219. The reversal of 111000010112211 is 112211010000111.

It is not a de Polignac number, because 111000010112211 - 2² = 111000010112207 is a prime.

It is a super-3 number, since 3×111000010112211³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (111000010112219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3779340 + ... + 15371513.

It is an arithmetic number, because the mean of its divisors is an integer number (2672233563744).

Almost surely, 2^{111000010112211} is an apocalyptic number.

111000010112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111000010112211 is a deficient number, since it is larger than the sum of its proper divisors (60022937967405).

111000010112211 is a wasteful number, since it uses less digits than its factorization.

111000010112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19151052.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111000010112211 its reverse (112211010000111), we get a palindrome (223211020112322).

It can be divided in two parts, 1110000 and 10112211, that added together give a palindrome (11222211).

The spelling of 111000010112211 in words is "one hundred eleven trillion, ten million, one hundred twelve thousand, two hundred eleven".