2001111220000 has 60 divisors (see below), whose sum is σ = 4923033817086. Its totient is φ = 800444480000.

The previous prime is 2001111219979. The next prime is 2001111220007. The reversal of 2001111220000 is 221111002.

It can be written as a sum of positive squares in 5 ways, for example, as 60026960016 + 1941084259984 = 245004^2 + 1393228^2 .

It is a super-2 number, since 2×2001111220000² (a number of 25 digits) contains 22 as substring.

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 (2001111220007) 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 9 ways as a sum of consecutive naturals, for example, 50007781 + ... + 50047780.

Almost surely, 2^{2001111220000} is an apocalyptic number.

2001111220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001111220000 is an abundant number, since it is smaller than the sum of its proper divisors (2921922597086).

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

2001111220000 is an equidigital number, since it uses as much as digits as its factorization.

2001111220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100055591 (or 100055568 counting only the distinct ones).

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

Adding to 2001111220000 its reverse (221111002), we get a palindrome (2001332331002).

The spelling of 2001111220000 in words is "two trillion, one billion, one hundred eleven million, two hundred twenty thousand".