21112300321112 has 128 divisors (see below), whose sum is σ = 53160634920960. Its totient is φ = 7591294149120.

The previous prime is 21112300321087. The next prime is 21112300321127.

21112300321112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39558713 + ... + 40088855.

It is an arithmetic number, because the mean of its divisors is an integer number (415317460320).

Almost surely, 2^{21112300321112} is an apocalyptic number.

21112300321112 is a gapful number since it is divisible by the number (22) 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 21112300321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26580317460480).

21112300321112 is an abundant number, since it is smaller than the sum of its proper divisors (32048334599848).

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

21112300321112 is a wasteful number, since it uses less digits than its factorization.

21112300321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535153 (or 535149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 21112300 and 321112, that added together give a palindrome (21433412).

The spelling of 21112300321112 in words is "twenty-one trillion, one hundred twelve billion, three hundred million, three hundred twenty-one thousand, one hundred twelve".