2001031301100 has 864 divisors, whose sum is σ = 6758214946560. Its totient is φ = 455569920000.

The previous prime is 2001031301077. The next prime is 2001031301147. The reversal of 2001031301100 is 11031301002.

It is a super-2 number, since 2×2001031301100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12745422222 + ... + 12745422378.

It is an arithmetic number, because the mean of its divisors is an integer number (7822008040).

Almost surely, 2^{2001031301100} is an apocalyptic number.

2001031301100 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 2001031301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379107473280).

2001031301100 is an abundant number, since it is smaller than the sum of its proper divisors (4757183645460).

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

2001031301100 is a wasteful number, since it uses less digits than its factorization.

2001031301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 2001031301100 its reverse (11031301002), we get a palindrome (2012062602102).

The spelling of 2001031301100 in words is "two trillion, one billion, thirty-one million, three hundred one thousand, one hundred".