10011220200 has 144 divisors (see below), whose sum is σ = 33867257580. Its totient is φ = 2650106880.

The previous prime is 10011220169. The next prime is 10011220201. The reversal of 10011220200 is 202211001.

It can be written as a sum of positive squares in 6 ways, for example, as 7184596644 + 2826623556 = 84762^2 + 53166^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10011220201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226302 + ... + 266898.

Almost surely, 2^10011220200 is an apocalyptic number.

10011220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16933628790).

10011220200 is an abundant number, since it is smaller than the sum of its proper divisors (23856037380).

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

10011220200 is a wasteful number, since it uses less digits than its factorization.

10011220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40756 (or 40744 counting only the distinct ones).

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

Adding to 10011220200 its reverse (202211001), we get a palindrome (10213431201).

The spelling of 10011220200 in words is "ten billion, eleven million, two hundred twenty thousand, two hundred".