2001012110100 has 216 divisors, whose sum is σ = 6294379133952. Its totient is φ = 531707328000.

The previous prime is 2001012110089. The next prime is 2001012110159. The reversal of 2001012110100 is 10112101002.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 493953075 + ... + 493957125.

Almost surely, 2^{2001012110100} is an apocalyptic number.

2001012110100 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 2001012110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147189566976).

2001012110100 is an abundant number, since it is smaller than the sum of its proper divisors (4293367023852).

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

2001012110100 is a wasteful number, since it uses less digits than its factorization.

2001012110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001012110100 its reverse (10112101002), we get a palindrome (2011124211102).

It can be divided in two parts, 2001012 and 110100, that added together give a palindrome (2111112).

The spelling of 2001012110100 in words is "two trillion, one billion, twelve million, one hundred ten thousand, one hundred".