2001101011000 has 256 divisors, whose sum is σ = 5766348107520. Its totient is φ = 632966400000.

The previous prime is 2001101010967. The next prime is 2001101011057. The reversal of 2001101011000 is 1101011002.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202106050 + ... + 202115950.

It is an arithmetic number, because the mean of its divisors is an integer number (22524797295).

Almost surely, 2^{2001101011000} is an apocalyptic number.

2001101011000 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 2001101011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883174053760).

2001101011000 is an abundant number, since it is smaller than the sum of its proper divisors (3765247096520).

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

2001101011000 is a wasteful number, since it uses less digits than its factorization.

2001101011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12163 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2001101011000 its reverse (1101011002), we get a palindrome (2002202022002).

The spelling of 2001101011000 in words is "two trillion, one billion, one hundred one million, eleven thousand".