2002002201100 has 144 divisors (see below), whose sum is σ = 5058988704000. Its totient is φ = 679970592000.

The previous prime is 2002002200999. The next prime is 2002002201107. The reversal of 2002002201100 is 11022002002.

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 (2002002201107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809326 + ... + 2158474.

It is an arithmetic number, because the mean of its divisors is an integer number (35131866000).

Almost surely, 2^{2002002201100} is an apocalyptic number.

2002002201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002002201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529494352000).

2002002201100 is an abundant number, since it is smaller than the sum of its proper divisors (3056986502900).

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

2002002201100 is a wasteful number, since it uses less digits than its factorization.

2002002201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349264 (or 1349257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002002201100 its reverse (11022002002), we get a palindrome (2013024203102).

The spelling of 2002002201100 in words is "two trillion, two billion, two million, two hundred one thousand, one hundred".