21200111010 has 96 divisors (see below), whose sum is σ = 59391940608. Its totient is φ = 5215708800.

The previous prime is 21200111003. The next prime is 21200111017. The reversal of 21200111010 is 1011100212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21200111003) and next prime (21200111017).

It is a super-3 number, since 3×21200111010³ (a number of 32 digits) contains 333 as substring.

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 = 21200110983 and 21200111001.

It is not an unprimeable number, because it can be changed into a prime (21200111017) 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, 2981119 + ... + 2988221.

It is an arithmetic number, because the mean of its divisors is an integer number (618666048).

Almost surely, 2^21200111010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29695970304).

21200111010 is an abundant number, since it is smaller than the sum of its proper divisors (38191829598).

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

21200111010 is a wasteful number, since it uses less digits than its factorization.

21200111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680 (or 9677 counting only the distinct ones).

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

Adding to 21200111010 its reverse (1011100212), we get a palindrome (22211211222).

The spelling of 21200111010 in words is "twenty-one billion, two hundred million, one hundred eleven thousand, ten".