21111100112201 has 16 divisors (see below), whose sum is σ = 23599418515200. Its totient is φ = 18722602501200.

The previous prime is 21111100112191. The next prime is 21111100112203. The reversal of 21111100112201 is 10221100111112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21111100112201 is a prime.

It is a super-3 number, since 3×21111100112201³ (a number of 41 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21111100112203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124070171 + ... + 124240208.

It is an arithmetic number, because the mean of its divisors is an integer number (1474963657200).

Almost surely, 2^{21111100112201} is an apocalyptic number.

It is an amenable number.

21111100112201 is a deficient number, since it is larger than the sum of its proper divisors (2488318402999).

21111100112201 is a wasteful number, since it uses less digits than its factorization.

21111100112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248310580.

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

Adding to 21111100112201 its reverse (10221100111112), we get a palindrome (31332200223313).

The spelling of 21111100112201 in words is "twenty-one trillion, one hundred eleven billion, one hundred million, one hundred twelve thousand, two hundred one".