2011330101000 has 1024 divisors, whose sum is σ = 7457329152000. Its totient is φ = 446031360000.

The previous prime is 2011330100993. The next prime is 2011330101023. The reversal of 2011330101000 is 1010331102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4199018761 + ... + 4199019239.

It is an arithmetic number, because the mean of its divisors is an integer number (7282548000).

Almost surely, 2^{2011330101000} is an apocalyptic number.

2011330101000 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 2011330101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728664576000).

2011330101000 is an abundant number, since it is smaller than the sum of its proper divisors (5445999051000).

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

2011330101000 is a wasteful number, since it uses less digits than its factorization.

2011330101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 2011330101000 its reverse (1010331102), we get a palindrome (2012340432102).

The spelling of 2011330101000 in words is "two trillion, eleven billion, three hundred thirty million, one hundred one thousand".