21011110120 has 256 divisors, whose sum is σ = 64678279680. Its totient is φ = 5930496000.

The previous prime is 21011110111. The next prime is 21011110181. The reversal of 21011110120 is 2101111012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21011110097 and 21011110106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2117170 + ... + 2127070.

It is an arithmetic number, because the mean of its divisors is an integer number (252649530).

Almost surely, 2^21011110120 is an apocalyptic number.

21011110120 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 21011110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32339139840).

21011110120 is an abundant number, since it is smaller than the sum of its proper divisors (43667169560).

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

21011110120 is a wasteful number, since it uses less digits than its factorization.

21011110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9996 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

21011110120 divided by its sum of digits (10) gives a palindrome (2101111012).

Adding to 21011110120 its reverse (2101111012), we get a palindrome (23112221132).

It can be divided in two parts, 21011 and 110120, that added together give a palindrome (131131).

The spelling of 21011110120 in words is "twenty-one billion, eleven million, one hundred ten thousand, one hundred twenty".