10120222200 has 144 divisors (see below), whose sum is σ = 34484277240. Its totient is φ = 2453369600.

The previous prime is 10120222193. The next prime is 10120222201. The reversal of 10120222200 is 222202101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120222201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2902 + ... + 142298.

Almost surely, 2^10120222200 is an apocalyptic number.

10120222200 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 10120222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17242138620).

10120222200 is an abundant number, since it is smaller than the sum of its proper divisors (24364055040).

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

10120222200 is a wasteful number, since it uses less digits than its factorization.

10120222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139438 (or 139418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10120222200 its reverse (222202101), we get a palindrome (10342424301).

The spelling of 10120222200 in words is "ten billion, one hundred twenty million, two hundred twenty-two thousand, two hundred".