12100011012200 has 24 divisors (see below), whose sum is σ = 28132525603830. Its totient is φ = 4840004404800.

The previous prime is 12100011012197. The next prime is 12100011012209. The reversal of 12100011012200 is 221011000121.

It can be written as a sum of positive squares in 3 ways, for example, as 10329243199396 + 1770767812804 = 3213914^2 + 1330702^2 .

It is a super-2 number, since 2×12100011012200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12100011012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30250027331 + ... + 30250027730.

Almost surely, 2^{12100011012200} is an apocalyptic number.

12100011012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100011012200 is an abundant number, since it is smaller than the sum of its proper divisors (16032514591630).

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

12100011012200 is a wasteful number, since it uses less digits than its factorization.

12100011012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60500055077 (or 60500055068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12100011012200 its reverse (221011000121), we get a palindrome (12321022012321).

The spelling of 12100011012200 in words is "twelve trillion, one hundred billion, eleven million, twelve thousand, two hundred".