2011000200000 has 672 divisors, whose sum is σ = 7393308048000. Its totient is φ = 478233600000.

The previous prime is 2011000199941. The next prime is 2011000200043. The reversal of 2011000200000 is 20001102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349797126 + ... + 349802874.

It is an arithmetic number, because the mean of its divisors is an integer number (11001946500).

Almost surely, 2^{2011000200000} is an apocalyptic number.

2011000200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696654024000).

2011000200000 is an abundant number, since it is smaller than the sum of its proper divisors (5382307848000).

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

2011000200000 is an equidigital number, since it uses as much as digits as its factorization.

2011000200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2011000200000 its reverse (20001102), we get a palindrome (2011020201102).

The spelling of 2011000200000 in words is "two trillion, eleven billion, two hundred thousand".