21101101120 has 56 divisors (see below), whose sum is σ = 54814915008. Its totient is φ = 7673126400.

The previous prime is 21101101081. The next prime is 21101101139. The reversal of 21101101120 is 2110110112.

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 = 21101101097 and 21101101106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2993796 + ... + 3000835.

It is an arithmetic number, because the mean of its divisors is an integer number (978837768).

Almost surely, 2^21101101120 is an apocalyptic number.

21101101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101101120 is an abundant number, since it is smaller than the sum of its proper divisors (33713813888).

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

21101101120 is a wasteful number, since it uses less digits than its factorization.

21101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994659 (or 5994649 counting only the distinct ones).

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

21101101120 divided by its sum of digits (10) gives a palindrome (2110110112).

Adding to 21101101120 its reverse (2110110112), we get a palindrome (23211211232).

It can be divided in two parts, 21101 and 101120, that added together give a palindrome (122221).

The spelling of 21101101120 in words is "twenty-one billion, one hundred one million, one hundred one thousand, one hundred twenty".