21110100101111 has 64 divisors (see below), whose sum is σ = 26365804093440. Its totient is φ = 16489156055040.

The previous prime is 21110100101011. The next prime is 21110100101131. The reversal of 21110100101111 is 11110100101112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21110100101111 - 2³⁸ = 20835222194167 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21110100101092 and 21110100101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110100101131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3406500065 + ... + 3406506261.

It is an arithmetic number, because the mean of its divisors is an integer number (411965688960).

Almost surely, 2^{21110100101111} is an apocalyptic number.

21110100101111 is a deficient number, since it is larger than the sum of its proper divisors (5255703992329).

21110100101111 is a wasteful number, since it uses less digits than its factorization.

21110100101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11424.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 21110100101111 its reverse (11110100101112), we get a palindrome (32220200202223).

Subtracting from 21110100101111 its reverse (11110100101112), we obtain a palindrome (9999999999999).

The spelling of 21110100101111 in words is "twenty-one trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred eleven".