2001001333100 has 324 divisors, whose sum is σ = 5731185055680. Its totient is φ = 603564192000.

The previous prime is 2001001333061. The next prime is 2001001333129. The reversal of 2001001333100 is 13331001002.

It is a super-2 number, since 2×2001001333100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18325466 + ... + 18434334.

Almost surely, 2^{2001001333100} is an apocalyptic number.

2001001333100 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 2001001333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865592527840).

2001001333100 is an abundant number, since it is smaller than the sum of its proper divisors (3730183722580).

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

2001001333100 is a wasteful number, since it uses less digits than its factorization.

2001001333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108950 (or 108925 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 2001001333100 its reverse (13331001002), we get a palindrome (2014332334102).

The spelling of 2001001333100 in words is "two trillion, one billion, one million, three hundred thirty-three thousand, one hundred".