2001022111100 has 18 divisors (see below), whose sum is σ = 4342217981304. Its totient is φ = 800408844400.

The previous prime is 2001022111091. The next prime is 2001022111117. The reversal of 2001022111100 is 11112201002.

It is a super-4 number, since 4×2001022111100⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 10005110456 + ... + 10005110655.

Almost surely, 2^{2001022111100} is an apocalyptic number.

2001022111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001022111100 is an abundant number, since it is smaller than the sum of its proper divisors (2341195870204).

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

2001022111100 is a wasteful number, since it uses less digits than its factorization.

2001022111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20010221125 (or 20010221118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001022111100 its reverse (11112201002), we get a palindrome (2012134312102).

The spelling of 2001022111100 in words is "two trillion, one billion, twenty-two million, one hundred eleven thousand, one hundred".