2001101120200 has 192 divisors, whose sum is σ = 6063065688960. Its totient is φ = 596061573120.

The previous prime is 2001101120189. The next prime is 2001101120203. The reversal of 2001101120200 is 20211011002.

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 (2001101120203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2924442 + ... + 3543241.

It is an arithmetic number, because the mean of its divisors is an integer number (31578467130).

Almost surely, 2^{2001101120200} is an apocalyptic number.

2001101120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001101120200 is an abundant number, since it is smaller than the sum of its proper divisors (4061964568760).

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

2001101120200 is a wasteful number, since it uses less digits than its factorization.

2001101120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467736 (or 6467727 counting only the distinct ones).

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

Adding to 2001101120200 its reverse (20211011002), we get a palindrome (2021312131202).

The spelling of 2001101120200 in words is "two trillion, one billion, one hundred one million, one hundred twenty thousand, two hundred".