2002121100100 has 72 divisors (see below), whose sum is σ = 4760264073600. Its totient is φ = 724864713600.

The previous prime is 2002121100059. The next prime is 2002121100107. The reversal of 2002121100100 is 10011212002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2002121100107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3722140 + ... + 4225939.

It is an arithmetic number, because the mean of its divisors is an integer number (66114778800).

Almost surely, 2^{2002121100100} is an apocalyptic number.

2002121100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002121100100 is an abundant number, since it is smaller than the sum of its proper divisors (2758142973500).

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

2002121100100 is a wasteful number, since it uses less digits than its factorization.

2002121100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948333 (or 7948326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2002121100100 its reverse (10011212002), we get a palindrome (2012132312102).

The spelling of 2002121100100 in words is "two trillion, two billion, one hundred twenty-one million, one hundred thousand, one hundred".