2002222000100 has 72 divisors (see below), whose sum is σ = 4967418314880. Its totient is φ = 686212369920.

The previous prime is 2002222000091. The next prime is 2002222000117. The reversal of 2002222000100 is 10002222002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1278137 + ... + 2374463.

It is an arithmetic number, because the mean of its divisors is an integer number (68991921040).

Almost surely, 2^{2002222000100} is an apocalyptic number.

2002222000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002222000100 is an abundant number, since it is smaller than the sum of its proper divisors (2965196314780).

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

2002222000100 is a wasteful number, since it uses less digits than its factorization.

2002222000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098957 (or 1098950 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2002222000100 its reverse (10002222002), we get a palindrome (2012224222102).

The spelling of 2002222000100 in words is "two trillion, two billion, two hundred twenty-two million, one hundred", and thus it is an aban number.