2001301110000 has 150 divisors (see below), whose sum is σ = 6998839373240. Its totient is φ = 533680272000.

The previous prime is 2001301109971. The next prime is 2001301110001. The reversal of 2001301110000 is 111031002.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×2001301110000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001301110001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11028340 + ... + 11208339.

Almost surely, 2^{2001301110000} is an apocalyptic number.

2001301110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001301110000 is an abundant number, since it is smaller than the sum of its proper divisors (4997538263240).

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

2001301110000 is a wasteful number, since it uses less digits than its factorization.

2001301110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22236713 (or 22236689 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 2001301110000 its reverse (111031002), we get a palindrome (2001412141002).

The spelling of 2001301110000 in words is "two trillion, one billion, three hundred one million, one hundred ten thousand".