10120012200 has 144 divisors (see below), whose sum is σ = 34079751420. Its totient is φ = 2691256320.

The previous prime is 10120012157. The next prime is 10120012211. The reversal of 10120012200 is 221002101.

It can be written as a sum of positive squares in 6 ways, for example, as 3768240996 + 6351771204 = 61386^2 + 79698^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 663864 + ... + 678936.

Almost surely, 2^10120012200 is an apocalyptic number.

10120012200 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 10120012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17039875710).

10120012200 is an abundant number, since it is smaller than the sum of its proper divisors (23959739220).

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

10120012200 is a wasteful number, since it uses less digits than its factorization.

10120012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15468 (or 15456 counting only the distinct ones).

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

Adding to 10120012200 its reverse (221002101), we get a palindrome (10341014301).

It can be divided in two parts, 101 and 20012200, that added together give a triangular number (20012301 = T₆₃₂₆).

The spelling of 10120012200 in words is "ten billion, one hundred twenty million, twelve thousand, two hundred".