2001100101000 has 1024 divisors, whose sum is σ = 8434531123200. Its totient is φ = 383730048000.

The previous prime is 2001100100983. The next prime is 2001100101061. The reversal of 2001100101000 is 1010011002.

It is a super-2 number, since 2×2001100101000² (a number of 25 digits) contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 2001100101000.

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, 507505029 + ... + 507508971.

It is an arithmetic number, because the mean of its divisors is an integer number (8236846800).

Almost surely, 2^{2001100101000} is an apocalyptic number.

2001100101000 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 2001100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217265561600).

2001100101000 is an abundant number, since it is smaller than the sum of its proper divisors (6433431022200).

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

2001100101000 is a wasteful number, since it uses less digits than its factorization.

2001100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 3984 counting only the distinct ones).

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

Adding to 2001100101000 its reverse (1010011002), we get a palindrome (2002110112002).

The spelling of 2001100101000 in words is "two trillion, one billion, one hundred million, one hundred one thousand".