10011112221111 has 16 divisors (see below), whose sum is σ = 14137795000800. Its totient is φ = 6279499911168.

The previous prime is 10011112221037. The next prime is 10011112221133. The reversal of 10011112221111 is 11112221111001.

It is not a de Polignac number, because 10011112221111 - 2²⁵ = 10011078666679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011112220111) 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 15 ways as a sum of consecutive naturals, for example, 30809716 + ... + 31132953.

It is an arithmetic number, because the mean of its divisors is an integer number (883612187550).

Almost surely, 2^{10011112221111} is an apocalyptic number.

10011112221111 is a deficient number, since it is larger than the sum of its proper divisors (4126682779689).

10011112221111 is a wasteful number, since it uses less digits than its factorization.

10011112221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61945858.

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

Adding to 10011112221111 its reverse (11112221111001), we get a palindrome (21123333332112).

The spelling of 10011112221111 in words is "ten trillion, eleven billion, one hundred twelve million, two hundred twenty-one thousand, one hundred eleven".