2010011201000 has 512 divisors, whose sum is σ = 5665262653440. Its totient is φ = 658944000000.

The previous prime is 2010011200937. The next prime is 2010011201039. The reversal of 2010011201000 is 1021100102.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 127 ways as a sum of consecutive naturals, for example, 585495284 + ... + 585498716.

It is an arithmetic number, because the mean of its divisors is an integer number (11064966120).

Almost surely, 2^{2010011201000} is an apocalyptic number.

2010011201000 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 2010011201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832631326720).

2010011201000 is an abundant number, since it is smaller than the sum of its proper divisors (3655251452440).

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

2010011201000 is a wasteful number, since it uses less digits than its factorization.

2010011201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3600 counting only the distinct ones).

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

Adding to 2010011201000 its reverse (1021100102), we get a palindrome (2011032301102).

The spelling of 2010011201000 in words is "two trillion, ten billion, eleven million, two hundred one thousand".