2001000110100 has 72 divisors (see below), whose sum is σ = 5789898797760. Its totient is φ = 533568833280.

The previous prime is 2001000110047. The next prime is 2001000110129. The reversal of 2001000110100 is 10110001002.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5192689 + ... + 5564711.

It is an arithmetic number, because the mean of its divisors is an integer number (80415261080).

Almost surely, 2^{2001000110100} is an apocalyptic number.

2001000110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001000110100 is an abundant number, since it is smaller than the sum of its proper divisors (3788898687660).

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

2001000110100 is a wasteful number, since it uses less digits than its factorization.

2001000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389969 (or 389962 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2001000110100 its reverse (10110001002), we get a palindrome (2011110111102).

The spelling of 2001000110100 in words is "two trillion, one billion, one hundred ten thousand, one hundred".