21112202202120 has 192 divisors, whose sum is σ = 69578920944000. Its totient is φ = 5551154002944.

The previous prime is 21112202202083. The next prime is 21112202202139. The reversal of 21112202202120 is 2120220221112.

It is a happy number.

21112202202120 is a `hidden beast` number, since 2 + 1 + 11 + 220 + 220 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21112202202093 and 21112202202102.

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, 10584627 + ... + 12420093.

It is an arithmetic number, because the mean of its divisors is an integer number (362390213250).

Almost surely, 2^{21112202202120} is an apocalyptic number.

21112202202120 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 21112202202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34789460472000).

21112202202120 is an abundant number, since it is smaller than the sum of its proper divisors (48466718741880).

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

21112202202120 is a wasteful number, since it uses less digits than its factorization.

21112202202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835932 (or 1835925 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21112202202120 its reverse (2120220221112), we get a palindrome (23232422423232).

The spelling of 21112202202120 in words is "twenty-one trillion, one hundred twelve billion, two hundred two million, two hundred two thousand, one hundred twenty".