10112201110011 has 128 divisors (see below), whose sum is σ = 18625723877376. Its totient is φ = 4709454151680.

The previous prime is 10112201110001. The next prime is 10112201110013. The reversal of 10112201110011 is 11001110221101.

It is not a de Polignac number, because 10112201110011 - 2⁹ = 10112201109499 is a prime.

It is a super-2 number, since 2×10112201110011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10112201110013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61807131 + ... + 61970523.

It is an arithmetic number, because the mean of its divisors is an integer number (145513467792).

Almost surely, 2^{10112201110011} is an apocalyptic number.

10112201110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10112201110011 is a deficient number, since it is larger than the sum of its proper divisors (8513522767365).

10112201110011 is a wasteful number, since it uses less digits than its factorization.

10112201110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164021.

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

Adding to 10112201110011 its reverse (11001110221101), we get a palindrome (21113311331112).

It can be divided in two parts, 1011 and 2201110011, that added together give a palindrome (2201111022).

The spelling of 10112201110011 in words is "ten trillion, one hundred twelve billion, two hundred one million, one hundred ten thousand, eleven".