2001110102000 has 80 divisors (see below), whose sum is σ = 4843100369952. Its totient is φ = 799713497600.

The previous prime is 2001110101993. The next prime is 2001110102003. The reversal of 2001110102000 is 2010111002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001110102003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1737959 + ... + 2650041.

Almost surely, 2^{2001110102000} is an apocalyptic number.

2001110102000 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 2001110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421550184976).

2001110102000 is an abundant number, since it is smaller than the sum of its proper divisors (2841990267952).

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

2001110102000 is a wasteful number, since it uses less digits than its factorization.

2001110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913203 (or 913187 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001110102000 its reverse (2010111002), we get a palindrome (2003120213002).

The spelling of 2001110102000 in words is "two trillion, one billion, one hundred ten million, one hundred two thousand".