21001120010010 has 256 divisors, whose sum is σ = 67388316364800. Its totient is φ = 4546510560000.

The previous prime is 21001120009993. The next prime is 21001120010011. The reversal of 21001120010010 is 1001002110012.

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 = 21001120009974 and 21001120010001.

It is not an unprimeable number, because it can be changed into a prime (21001120010011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152943885 + ... + 153081135.

It is an arithmetic number, because the mean of its divisors is an integer number (263235610800).

Almost surely, 2^{21001120010010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001120010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33694158182400).

21001120010010 is an abundant number, since it is smaller than the sum of its proper divisors (46387196354790).

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

21001120010010 is a wasteful number, since it uses less digits than its factorization.

21001120010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141554 (or 141548 counting only the distinct ones).

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

Adding to 21001120010010 its reverse (1001002110012), we get a palindrome (22002122120022).

The spelling of 21001120010010 in words is "twenty-one trillion, one billion, one hundred twenty million, ten thousand, ten".