2001100211000 has 128 divisors (see below), whose sum is σ = 5330362152960. Its totient is φ = 696034768000.

The previous prime is 2001100210933. The next prime is 2001100211009. The reversal of 2001100211000 is 1120011002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001100211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3701744 + ... + 4207743.

It is an arithmetic number, because the mean of its divisors is an integer number (41643454320).

Almost surely, 2^{2001100211000} is an apocalyptic number.

2001100211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001100211000 is an abundant number, since it is smaller than the sum of its proper divisors (3329261941960).

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

2001100211000 is a wasteful number, since it uses less digits than its factorization.

2001100211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7909542 (or 7909528 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001100211000 its reverse (1120011002), we get a palindrome (2002220222002).

It can be divided in two parts, 20011002 and 11000, that added together give a palindrome (20022002).

The spelling of 2001100211000 in words is "two trillion, one billion, one hundred million, two hundred eleven thousand".