21003001120 has 192 divisors, whose sum is σ = 52223530464. Its totient is φ = 7974420480.

The previous prime is 21003001087. The next prime is 21003001121. The reversal of 21003001120 is 2110030012.

It can be written as a sum of positive squares in 16 ways, for example, as 2257010064 + 18745991056 = 47508^2 + 136916^2 .

It is a super-2 number, since 2×21003001120² (a number of 21 digits) contains 22 as substring.

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 = 21003001097 and 21003001106.

It is not an unprimeable number, because it can be changed into a prime (21003001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67102084 + ... + 67102396.

Almost surely, 2^21003001120 is an apocalyptic number.

21003001120 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 21003001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26111765232).

21003001120 is an abundant number, since it is smaller than the sum of its proper divisors (31220529344).

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

21003001120 is a wasteful number, since it uses less digits than its factorization.

21003001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 21003001120 its reverse (2110030012), we get a palindrome (23113031132).

The spelling of 21003001120 in words is "twenty-one billion, three million, one thousand, one hundred twenty".