2001010100000 has 144 divisors (see below), whose sum is σ = 4929040771200. Its totient is φ = 799592160000.

The previous prime is 2001010099999. The next prime is 2001010100057. The reversal of 2001010100000 is 10101002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103890371 + ... + 103909629.

It is an arithmetic number, because the mean of its divisors is an integer number (34229449800).

Almost surely, 2^{2001010100000} is an apocalyptic number.

2001010100000 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 2001010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464520385600).

2001010100000 is an abundant number, since it is smaller than the sum of its proper divisors (2928030671200).

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

2001010100000 is an equidigital number, since it uses as much as digits as its factorization.

2001010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20333 (or 20305 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 2001010100000 its reverse (10101002), we get a palindrome (2001020201002).

The spelling of 2001010100000 in words is "two trillion, one billion, ten million, one hundred thousand".