2002112220100 has 36 divisors (see below), whose sum is σ = 4351156404868. Its totient is φ = 799633296000.

The previous prime is 2002112220077. The next prime is 2002112220109. The reversal of 2002112220100 is 10222112002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4050813316 + 1998061406784 = 63646^2 + 1413528^2 .

It is not an unprimeable number, because it can be changed into a prime (2002112220109) 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 11 ways as a sum of consecutive naturals, for example, 15078471 + ... + 15210670.

Almost surely, 2^{2002112220100} is an apocalyptic number.

2002112220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002112220100 is an abundant number, since it is smaller than the sum of its proper divisors (2349044184768).

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

2002112220100 is a wasteful number, since it uses less digits than its factorization.

2002112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30289816 (or 30289809 counting only the distinct ones).

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

Adding to 2002112220100 its reverse (10222112002), we get a palindrome (2012334332102).

The spelling of 2002112220100 in words is "two trillion, two billion, one hundred twelve million, two hundred twenty thousand, one hundred".