2001000102000 has 160 divisors (see below), whose sum is σ = 6454034683200. Its totient is φ = 533367577600.

The previous prime is 2001000101951. The next prime is 2001000102047. The reversal of 2001000102000 is 2010001002.

It is a happy number.

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 2001000102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13926526 + ... + 14069474.

It is an arithmetic number, because the mean of its divisors is an integer number (40337716770).

Almost surely, 2^{2001000102000} is an apocalyptic number.

2001000102000 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 2001000102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227017341600).

2001000102000 is an abundant number, since it is smaller than the sum of its proper divisors (4453034581200).

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

2001000102000 is a wasteful number, since it uses less digits than its factorization.

2001000102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145308 (or 145292 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2001000102000 its reverse (2010001002), we get a palindrome (2003010103002).

The spelling of 2001000102000 in words is "two trillion, one billion, one hundred two thousand".