22101200010 has 96 divisors (see below), whose sum is σ = 59680080720. Its totient is φ = 5669858304.

The previous prime is 22101199987. The next prime is 22101200039. The reversal of 22101200010 is 1000210122.

It can be written as a sum of positive squares in 8 ways, for example, as 13193049321 + 8908150689 = 114861^2 + 94383^2 .

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 = 22101199965 and 22101200001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259084 + ... + 333656.

Almost surely, 2^22101200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29840040360).

22101200010 is an abundant number, since it is smaller than the sum of its proper divisors (37578880710).

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

22101200010 is a wasteful number, since it uses less digits than its factorization.

22101200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74712 (or 74709 counting only the distinct ones).

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

Adding to 22101200010 its reverse (1000210122), we get a palindrome (23101410132).

It can be divided in two parts, 22101 and 200010, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 22101200010 in words is "twenty-two billion, one hundred one million, two hundred thousand, ten".