2001100201100 has 144 divisors (see below), whose sum is σ = 5830338667776. Its totient is φ = 575741088000.

The previous prime is 2001100200961. The next prime is 2001100201117. The reversal of 2001100201100 is 11020011002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9895406 + ... + 10095605.

Almost surely, 2^{2001100201100} is an apocalyptic number.

2001100201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001100201100 is an abundant number, since it is smaller than the sum of its proper divisors (3829238466676).

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

2001100201100 is a wasteful number, since it uses less digits than its factorization.

2001100201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19991056 (or 19991049 counting only the distinct ones).

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

Adding to 2001100201100 its reverse (11020011002), we get a palindrome (2012120212102).

The spelling of 2001100201100 in words is "two trillion, one billion, one hundred million, two hundred one thousand, one hundred".