21102011311110 has 384 divisors, whose sum is σ = 54078169356288. Its totient is φ = 5266280448000.

The previous prime is 21102011311109. The next prime is 21102011311127. The reversal of 21102011311110 is 1111311020112.

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 21102011311110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59779068694 + ... + 59779069046.

It is an arithmetic number, because the mean of its divisors is an integer number (140828566032).

Almost surely, 2^{21102011311110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102011311110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27039084678144).

21102011311110 is an abundant number, since it is smaller than the sum of its proper divisors (32976158045178).

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

21102011311110 is a wasteful number, since it uses less digits than its factorization.

21102011311110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 21102011311110 its reverse (1111311020112), we get a palindrome (22213322331222).

The spelling of 21102011311110 in words is "twenty-one trillion, one hundred two billion, eleven million, three hundred eleven thousand, one hundred ten".