21102200010 has 96 divisors (see below), whose sum is σ = 56575314432. Its totient is φ = 5453136000.

The previous prime is 21102199997. The next prime is 21102200017. The reversal of 21102200010 is 1000220112.

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 = 21102199965 and 21102200001.

It is not an unprimeable number, because it can be changed into a prime (21102200017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823207 + ... + 848453.

It is an arithmetic number, because the mean of its divisors is an integer number (589326192).

Almost surely, 2^21102200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28287657216).

21102200010 is an abundant number, since it is smaller than the sum of its proper divisors (35473114422).

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

21102200010 is a wasteful number, since it uses less digits than its factorization.

21102200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25548 (or 25545 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21102200010 its reverse (1000220112), we get a palindrome (22102420122).

The spelling of 21102200010 in words is "twenty-one billion, one hundred two million, two hundred thousand, ten".