21101122111111 has 8 divisors (see below), whose sum is σ = 25384808554880. Its totient is φ = 17134745774328.

The previous prime is 21101122111067. The next prime is 21101122111129. The reversal of 21101122111111 is 11111122110112.

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

It is not a de Polignac number, because 21101122111111 - 2⁹ = 21101122110599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101122111151) 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, 79327526601 + ... + 79327526866.

It is an arithmetic number, because the mean of its divisors is an integer number (3173101069360).

Almost surely, 2^{21101122111111} is an apocalyptic number.

21101122111111 is a deficient number, since it is larger than the sum of its proper divisors (4283686443769).

21101122111111 is a wasteful number, since it uses less digits than its factorization.

21101122111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158655053493.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 21101122111111 its reverse (11111122110112), we get a palindrome (32212244221223).

Subtracting from 21101122111111 its reverse (11111122110112), we obtain a palindrome (9990000000999).

The spelling of 21101122111111 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred eleven".