12002202012100 has 144 divisors (see below), whose sum is σ = 27103116070800. Its totient is φ = 4607834112000.

The previous prime is 12002202012083. The next prime is 12002202012121. The reversal of 12002202012100 is 121020220021.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 8374495152384 + 3627706859716 = 2893872^2 + 1904654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397659010 + ... + 397689190.

It is an arithmetic number, because the mean of its divisors is an integer number (188216083825).

Almost surely, 2^{12002202012100} is an apocalyptic number.

12002202012100 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 12002202012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551558035400).

12002202012100 is an abundant number, since it is smaller than the sum of its proper divisors (15100914058700).

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

12002202012100 is a wasteful number, since it uses less digits than its factorization.

12002202012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31034 (or 31027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12002202012100 its reverse (121020220021), we get a palindrome (12123222232121).

The spelling of 12002202012100 in words is "twelve trillion, two billion, two hundred two million, twelve thousand, one hundred".