21120011000010 has 192 divisors, whose sum is σ = 60993538099200. Its totient is φ = 5198094749952.

The previous prime is 21120010999999. The next prime is 21120011000041. The reversal of 21120011000010 is 1000011002112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21120010999956 and 21120011000001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411967639 + ... + 412018901.

It is an arithmetic number, because the mean of its divisors is an integer number (317674677600).

Almost surely, 2^{21120011000010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120011000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30496769049600).

21120011000010 is an abundant number, since it is smaller than the sum of its proper divisors (39873527099190).

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

21120011000010 is a wasteful number, since it uses less digits than its factorization.

21120011000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60334 (or 60315 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21120011000010 its reverse (1000011002112), we get a palindrome (22120022002122).

The spelling of 21120011000010 in words is "twenty-one trillion, one hundred twenty billion, eleven million, ten", and thus it is an aban number.