112011022101011 has 32 divisors (see below), whose sum is σ = 124296244072896. Its totient is φ = 100078898112000.

The previous prime is 112011022100963. The next prime is 112011022101019. The reversal of 112011022101011 is 110101220110211.

It is a cyclic number.

It is not a de Polignac number, because 112011022101011 - 2⁴² = 107612975589907 is a prime.

It is a super-2 number, since 2×112011022101011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112011022101019) 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, 6010132985 + ... + 6010151621.

It is an arithmetic number, because the mean of its divisors is an integer number (3884257627278).

Almost surely, 2^{112011022101011} is an apocalyptic number.

112011022101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112011022101011 is a deficient number, since it is larger than the sum of its proper divisors (12285221971885).

112011022101011 is a wasteful number, since it uses less digits than its factorization.

112011022101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25383.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112011022101011 its reverse (110101220110211), we get a palindrome (222112242211222).

The spelling of 112011022101011 in words is "one hundred twelve trillion, eleven billion, twenty-two million, one hundred one thousand, eleven".