21000100220112 has 240 divisors, whose sum is σ = 59796112178880. Its totient is φ = 6346783752192.

The previous prime is 21000100220051. The next prime is 21000100220189. The reversal of 21000100220112 is 21102200100012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116390064 + ... + 116570352.

It is an arithmetic number, because the mean of its divisors is an integer number (249150467412).

Almost surely, 2^{21000100220112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000100220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29898056089440).

21000100220112 is an abundant number, since it is smaller than the sum of its proper divisors (38796011958768).

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

21000100220112 is a wasteful number, since it uses less digits than its factorization.

21000100220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180582 (or 180563 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21000100220112 its reverse (21102200100012), we get a palindrome (42102300320124).

The spelling of 21000100220112 in words is "twenty-one trillion, one hundred million, two hundred twenty thousand, one hundred twelve".