21022100112112 has 80 divisors (see below), whose sum is σ = 45181679330304. Its totient is φ = 9395243424000.

The previous prime is 21022100112017. The next prime is 21022100112241. The reversal of 21022100112112 is 21121100122012.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2294062 + ... + 6878002.

Almost surely, 2^{21022100112112} is an apocalyptic number.

21022100112112 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 21022100112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22590839665152).

21022100112112 is an abundant number, since it is smaller than the sum of its proper divisors (24159579218192).

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

21022100112112 is a wasteful number, since it uses less digits than its factorization.

21022100112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584398 (or 4584392 counting only the distinct ones).

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

Adding to 21022100112112 its reverse (21121100122012), we get a palindrome (42143200234124).

The spelling of 21022100112112 in words is "twenty-one trillion, twenty-two billion, one hundred million, one hundred twelve thousand, one hundred twelve".