21100111330110 has 64 divisors (see below), whose sum is σ = 52066818607104. Its totient is φ = 5469203462400.

The previous prime is 21100111330063. The next prime is 21100111330117. The reversal of 21100111330110 is 1103311100112.

It is a super-2 number, since 2×21100111330110² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21100111330110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100111330117) 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 31 ways as a sum of consecutive naturals, for example, 31317154 + ... + 31983813.

It is an arithmetic number, because the mean of its divisors is an integer number (813544040736).

Almost surely, 2^{21100111330110} is an apocalyptic number.

21100111330110 is an abundant number, since it is smaller than the sum of its proper divisors (30966707276994).

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

21100111330110 is a wasteful number, since it uses less digits than its factorization.

21100111330110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63301289.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 21100111330110 its reverse (1103311100112), we get a palindrome (22203422430222).

The spelling of 21100111330110 in words is "twenty-one trillion, one hundred billion, one hundred eleven million, three hundred thirty thousand, one hundred ten".