10112200200 has 72 divisors (see below), whose sum is σ = 33960145050. Its totient is φ = 2696586240.

The previous prime is 10112200139. The next prime is 10112200201. The reversal of 10112200200 is 200221101.

It can be written as a sum of positive squares in 3 ways, for example, as 5083404804 + 5028795396 = 71298^2 + 70914^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (10112200201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2807145 + ... + 2810744.

Almost surely, 2^10112200200 is an apocalyptic number.

10112200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112200200 is an abundant number, since it is smaller than the sum of its proper divisors (23847944850).

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

10112200200 is a wasteful number, since it uses less digits than its factorization.

10112200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617911 (or 5617899 counting only the distinct ones).

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

Adding to 10112200200 its reverse (200221101), we get a palindrome (10312421301).

It can be divided in two parts, 10112200 and 200, that added together give a square (10112400 = 3180²).

The spelling of 10112200200 in words is "ten billion, one hundred twelve million, two hundred thousand, two hundred".