21210001120 has 192 divisors, whose sum is σ = 63927553536. Its totient is φ = 6457006080.

The previous prime is 21210001081. The next prime is 21210001151. The reversal of 21210001120 is 2110001212.

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 = 21210001097 and 21210001106.

It is a congruent number.

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, 509742 + ... + 549778.

It is an arithmetic number, because the mean of its divisors is an integer number (332956008).

Almost surely, 2^21210001120 is an apocalyptic number.

21210001120 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 21210001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31963776768).

21210001120 is an abundant number, since it is smaller than the sum of its proper divisors (42717552416).

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

21210001120 is a wasteful number, since it uses less digits than its factorization.

21210001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40113 (or 40105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21210001120 its reverse (2110001212), we get a palindrome (23320002332).

The spelling of 21210001120 in words is "twenty-one billion, two hundred ten million, one thousand, one hundred twenty".