2001312022100 has 72 divisors (see below), whose sum is σ = 4364326977696. Its totient is φ = 796566960000.

The previous prime is 2001312022069. The next prime is 2001312022103. The reversal of 2001312022100 is 12202131002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001312022103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193713935 + ... + 193724265.

It is an arithmetic number, because the mean of its divisors is an integer number (60615652468).

Almost surely, 2^{2001312022100} is an apocalyptic number.

2001312022100 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 2001312022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182163488848).

2001312022100 is an abundant number, since it is smaller than the sum of its proper divisors (2363014955596).

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

2001312022100 is a wasteful number, since it uses less digits than its factorization.

2001312022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19737 (or 19730 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2001312022100 its reverse (12202131002), we get a palindrome (2013514153102).

The spelling of 2001312022100 in words is "two trillion, one billion, three hundred twelve million, twenty-two thousand, one hundred".