21110121120 has 192 divisors, whose sum is σ = 72624263040. Its totient is φ = 5111808000.

The previous prime is 21110121101. The next prime is 21110121139. The reversal of 21110121120 is 2112101112.

It is an interprime number because it is at equal distance from previous prime (21110121101) and next prime (21110121139).

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 = 21110121096 and 21110121105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6339616 + ... + 6342944.

It is an arithmetic number, because the mean of its divisors is an integer number (378251370).

Almost surely, 2^21110121120 is an apocalyptic number.

21110121120 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 21110121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36312131520).

21110121120 is an abundant number, since it is smaller than the sum of its proper divisors (51514141920).

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

21110121120 is a wasteful number, since it uses less digits than its factorization.

21110121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4551 counting only the distinct ones).

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

Adding to 21110121120 its reverse (2112101112), we get a palindrome (23222222232).

It can be divided in two parts, 211101 and 21120, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 21110121120 in words is "twenty-one billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".