21211101120 has 224 divisors, whose sum is σ = 76002001920. Its totient is φ = 4964700160.

The previous prime is 21211101097. The next prime is 21211101137. The reversal of 21211101120 is 2110111212.

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 = 21211101096 and 21211101105.

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, 271609 + ... + 340871.

Almost surely, 2^21211101120 is an apocalyptic number.

21211101120 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 21211101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38001000960).

21211101120 is an abundant number, since it is smaller than the sum of its proper divisors (54790900800).

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

21211101120 is a wasteful number, since it uses less digits than its factorization.

21211101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69323 (or 69313 counting only the distinct ones).

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

Adding to 21211101120 its reverse (2110111212), we get a palindrome (23321212332).

The spelling of 21211101120 in words is "twenty-one billion, two hundred eleven million, one hundred one thousand, one hundred twenty".