21011101101111 has 8 divisors (see below), whose sum is σ = 30561601601664. Its totient is φ = 12734000667320.

The previous prime is 21011101101103. The next prime is 21011101101119. The reversal of 21011101101111 is 11110110111012.

It is an interprime number because it is at equal distance from previous prime (21011101101103) and next prime (21011101101119).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21011101101111 - 2³ = 21011101101103 is a prime.

It is a super-2 number, since 2×21011101101111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011101101119) 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 7 ways as a sum of consecutive naturals, for example, 318350016651 + ... + 318350016716.

It is an arithmetic number, because the mean of its divisors is an integer number (3820200200208).

Almost surely, 2^{21011101101111} is an apocalyptic number.

21011101101111 is a deficient number, since it is larger than the sum of its proper divisors (9550500500553).

21011101101111 is a wasteful number, since it uses less digits than its factorization.

21011101101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636700033381.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 21011101101111 its reverse (11110110111012), we get a palindrome (32121211212123).

Subtracting from 21011101101111 its reverse (11110110111012), we obtain a palindrome (9900990990099).

The spelling of 21011101101111 in words is "twenty-one trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred eleven".