2001100132021 has 8 divisors (see below), whose sum is σ = 2008402756920. Its totient is φ = 1993803734208.

The previous prime is 2001100132019. The next prime is 2001100132043. The reversal of 2001100132021 is 1202310011002.

It can be written as a sum of positive squares in 4 ways, for example, as 107616802500 + 1893483329521 = 328050^2 + 1376039^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2001100132021 - 2¹ = 2001100132019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001100131992 and 2001100132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001100132081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 912406 + ... + 2198791.

It is an arithmetic number, because the mean of its divisors is an integer number (251050344615).

Almost surely, 2^{2001100132021} is an apocalyptic number.

It is an amenable number.

2001100132021 is a deficient number, since it is larger than the sum of its proper divisors (7302624899).

2001100132021 is a wasteful number, since it uses less digits than its factorization.

2001100132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113543.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2001100132021 its reverse (1202310011002), we get a palindrome (3203410143023).

The spelling of 2001100132021 in words is "two trillion, one billion, one hundred million, one hundred thirty-two thousand, twenty-one".