21210011010 has 192 divisors, whose sum is σ = 59631137280. Its totient is φ = 5219182080.

The previous prime is 21210010937. The next prime is 21210011023. The reversal of 21210011010 is 1011001212.

21210011010 = 10528² + 10529² + ... + 10715².

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 21210010983 and 21210011001.

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, 5272800 + ... + 5276820.

It is an arithmetic number, because the mean of its divisors is an integer number (310578840).

Almost surely, 2^21210011010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29815568640).

21210011010 is an abundant number, since it is smaller than the sum of its proper divisors (38421126270).

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

21210011010 is a wasteful number, since it uses less digits than its factorization.

21210011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4150 counting only the distinct ones).

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

Adding to 21210011010 its reverse (1011001212), we get a palindrome (22221012222).

The spelling of 21210011010 in words is "twenty-one billion, two hundred ten million, eleven thousand, ten".