21112210111104 has 384 divisors, whose sum is σ = 73453186560000. Its totient is φ = 5685858478080.

The previous prime is 21112210111099. The next prime is 21112210111163. The reversal of 21112210111104 is 40111101221112.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 30143769 + ... + 30836199.

It is an arithmetic number, because the mean of its divisors is an integer number (191284340000).

Almost surely, 2^{21112210111104} is an apocalyptic number.

21112210111104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112210111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36726593280000).

21112210111104 is an abundant number, since it is smaller than the sum of its proper divisors (52340976448896).

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

21112210111104 is a wasteful number, since it uses less digits than its factorization.

21112210111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692676 (or 692661 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21112210111104 its reverse (40111101221112), we get a palindrome (61223311332216).

The spelling of 21112210111104 in words is "twenty-one trillion, one hundred twelve billion, two hundred ten million, one hundred eleven thousand, one hundred four".