2002110010200 has 192 divisors, whose sum is σ = 6903597204000. Its totient is φ = 533319966720.

The previous prime is 2002110010193. The next prime is 2002110010279. The reversal of 2002110010200 is 20100112002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4817052 + ... + 5216148.

Almost surely, 2^{2002110010200} is an apocalyptic number.

2002110010200 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 2002110010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451798602000).

2002110010200 is an abundant number, since it is smaller than the sum of its proper divisors (4901487193800).

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

2002110010200 is a wasteful number, since it uses less digits than its factorization.

2002110010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400051 (or 400036 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002110010200 its reverse (20100112002), we get a palindrome (2022210122202).

The spelling of 2002110010200 in words is "two trillion, two billion, one hundred ten million, ten thousand, two hundred".