21200111100120 has 128 divisors (see below), whose sum is σ = 64706297906880. Its totient is φ = 5555236608000.

The previous prime is 21200111100097. The next prime is 21200111100221. The reversal of 21200111100120 is 2100111100212.

It is a super-3 number, since 3×21200111100120³ (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21200111100096 and 21200111100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6055410 + ... + 8892030.

Almost surely, 2^{21200111100120} is an apocalyptic number.

21200111100120 is a gapful number since it is divisible by the number (20) 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 21200111100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32353148953440).

21200111100120 is an abundant number, since it is smaller than the sum of its proper divisors (43506186806760).

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

21200111100120 is a wasteful number, since it uses less digits than its factorization.

21200111100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837717 (or 2837713 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21200111100120 its reverse (2100111100212), we get a palindrome (23300222200332).

The spelling of 21200111100120 in words is "twenty-one trillion, two hundred billion, one hundred eleven million, one hundred thousand, one hundred twenty".