21112011110113 has 16 divisors (see below), whose sum is σ = 26419317747840. Its totient is φ = 16389761904000.

The previous prime is 21112011110087. The next prime is 21112011110171. The reversal of 21112011110113 is 31101111021112.

It is a cyclic number.

It is not a de Polignac number, because 21112011110113 - 2¹⁷ = 21112010979041 is a prime.

It is a super-2 number, since 2×21112011110113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21112011110173) 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, 509611188 + ... + 509652613.

It is an arithmetic number, because the mean of its divisors is an integer number (1651207359240).

Almost surely, 2^{21112011110113} is an apocalyptic number.

It is an amenable number.

21112011110113 is a deficient number, since it is larger than the sum of its proper divisors (5307306637727).

21112011110113 is a wasteful number, since it uses less digits than its factorization.

21112011110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019264088.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 21112011110113 its reverse (31101111021112), we get a palindrome (52213122131225).

The spelling of 21112011110113 in words is "twenty-one trillion, one hundred twelve billion, eleven million, one hundred ten thousand, one hundred thirteen".