100002122200200 has 192 divisors, whose sum is σ = 339384015532800. Its totient is φ = 24157274169600.

The previous prime is 100002122200181. The next prime is 100002122200217. The reversal of 100002122200200 is 2002221200001.

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

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, 24902230 + ... + 28637829.

It is an arithmetic number, because the mean of its divisors is an integer number (1767625080900).

Almost surely, 2^{100002122200200} is an apocalyptic number.

100002122200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002122200200 is an abundant number, since it is smaller than the sum of its proper divisors (239381893332600).

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

100002122200200 is a wasteful number, since it uses less digits than its factorization.

100002122200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53540372 (or 53540363 counting only the distinct ones).

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

Adding to 100002122200200 its reverse (2002221200001), we get a palindrome (102004343400201).

The spelling of 100002122200200 in words is "one hundred trillion, two billion, one hundred twenty-two million, two hundred thousand, two hundred".