21001122210112 has 112 divisors (see below), whose sum is σ = 45947858604480. Its totient is φ = 9523165724160.

The previous prime is 21001122210071. The next prime is 21001122210121. The reversal of 21001122210112 is 21101222110012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35397898 + ... + 35986294.

It is an arithmetic number, because the mean of its divisors is an integer number (410248737540).

Almost surely, 2^{21001122210112} is an apocalyptic number.

21001122210112 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 21001122210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22973929302240).

21001122210112 is an abundant number, since it is smaller than the sum of its proper divisors (24946736394368).

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

21001122210112 is an equidigital number, since it uses as much as digits as its factorization.

21001122210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588861 (or 588829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21001122210112 its reverse (21101222110012), we get a palindrome (42102344320124).

The spelling of 21001122210112 in words is "twenty-one trillion, one billion, one hundred twenty-two million, two hundred ten thousand, one hundred twelve".