12002212200100 has 36 divisors (see below), whose sum is σ = 26051066664084. Its totient is φ = 4799729822080.

The previous prime is 12002212200037. The next prime is 12002212200109. The reversal of 12002212200100 is 100221220021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 800352101376 + 11201860098724 = 894624^2 + 3346918^2 .

It is not an unprimeable number, because it can be changed into a prime (12002212200109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14020447 + ... + 14851846.

It is an arithmetic number, because the mean of its divisors is an integer number (723640740669).

Almost surely, 2^{12002212200100} is an apocalyptic number.

12002212200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002212200100 is an abundant number, since it is smaller than the sum of its proper divisors (14048854463984).

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

12002212200100 is a wasteful number, since it uses less digits than its factorization.

12002212200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28876464 (or 28876457 counting only the distinct ones).

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

Adding to 12002212200100 its reverse (100221220021), we get a palindrome (12102433420121).

The spelling of 12002212200100 in words is "twelve trillion, two billion, two hundred twelve million, two hundred thousand, one hundred".