2001100100021 has 8 divisors (see below), whose sum is σ = 2213765028288. Its totient is φ = 1793559628000.

The previous prime is 2001100100017. The next prime is 2001100100029. The reversal of 2001100100021 is 1200010011002.

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 2001100100021 - 2² = 2001100100017 is a prime.

It is a super-2 number, since 2×2001100100021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001100099981 and 2001100100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001100100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281113240 + ... + 1281114801.

It is an arithmetic number, because the mean of its divisors is an integer number (276720628536).

Almost surely, 2^{2001100100021} is an apocalyptic number.

It is an amenable number.

2001100100021 is a deficient number, since it is larger than the sum of its proper divisors (212664928267).

2001100100021 is a wasteful number, since it uses less digits than its factorization.

2001100100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562228123.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001100100021 its reverse (1200010011002), we get a palindrome (3201110111023).

The spelling of 2001100100021 in words is "two trillion, one billion, one hundred million, one hundred thousand, twenty-one".