2001231022100 has 18 divisors (see below), whose sum is σ = 4342671318174. Its totient is φ = 800492408800.

The previous prime is 2001231022081. The next prime is 2001231022121. The reversal of 2001231022100 is 12201321002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 172726684816 + 1828504337284 = 415604^2 + 1352222^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10006155011 + ... + 10006155210.

Almost surely, 2^{2001231022100} is an apocalyptic number.

2001231022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001231022100 is an abundant number, since it is smaller than the sum of its proper divisors (2341440296074).

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

2001231022100 is a wasteful number, since it uses less digits than its factorization.

2001231022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20012310235 (or 20012310228 counting only the distinct ones).

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

Adding to 2001231022100 its reverse (12201321002), we get a palindrome (2013432343102).

The spelling of 2001231022100 in words is "two trillion, one billion, two hundred thirty-one million, twenty-two thousand, one hundred".