21110011120 has 320 divisors, whose sum is σ = 58748239872. Its totient is φ = 6967296000.

The previous prime is 21110011073. The next prime is 21110011127. The reversal of 21110011120 is 2111001112.

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 = 21110011097 and 21110011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110011127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77896585 + ... + 77896855.

Almost surely, 2^21110011120 is an apocalyptic number.

21110011120 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 21110011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29374119936).

21110011120 is an abundant number, since it is smaller than the sum of its proper divisors (37638228752).

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

21110011120 is a wasteful number, since it uses less digits than its factorization.

21110011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

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

21110011120 divided by its sum of digits (10) gives a palindrome (2111001112).

Adding to 21110011120 its reverse (2111001112), we get a palindrome (23221012232).

The spelling of 21110011120 in words is "twenty-one billion, one hundred ten million, eleven thousand, one hundred twenty".