2001102100200 has 480 divisors, whose sum is σ = 8092891128960. Its totient is φ = 448763328000.

The previous prime is 2001102100189. The next prime is 2001102100219. The reversal of 2001102100200 is 20012011002.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5843725 + ... + 6176675.

It is an arithmetic number, because the mean of its divisors is an integer number (16860189852).

Almost surely, 2^{2001102100200} is an apocalyptic number.

2001102100200 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 2001102100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046445564480).

2001102100200 is an abundant number, since it is smaller than the sum of its proper divisors (6091789028760).

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

2001102100200 is a wasteful number, since it uses less digits than its factorization.

2001102100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333039 (or 333021 counting only the distinct ones).

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

Adding to 2001102100200 its reverse (20012011002), we get a palindrome (2021114111202).

The spelling of 2001102100200 in words is "two trillion, one billion, one hundred two million, one hundred thousand, two hundred".