21111101121110 has 512 divisors, whose sum is σ = 52977925324800. Its totient is φ = 5967699494400.

The previous prime is 21111101120987. The next prime is 21111101121203. The reversal of 21111101121110 is 1112110111112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12084201257 + ... + 12084203003.

It is an arithmetic number, because the mean of its divisors is an integer number (103472510400).

Almost surely, 2^{21111101121110} is an apocalyptic number.

21111101121110 is an abundant number, since it is smaller than the sum of its proper divisors (31866824203690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21111101121110 is a wasteful number, since it uses less digits than its factorization.

21111101121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 21111101121110 its reverse (1112110111112), we get a palindrome (22223211232222).

The spelling of 21111101121110 in words is "twenty-one trillion, one hundred eleven billion, one hundred one million, one hundred twenty-one thousand, one hundred ten".