2001102100001 has 4 divisors (see below), whose sum is σ = 2001111329604. Its totient is φ = 2001092870400.

The previous prime is 2001102099989. The next prime is 2001102100003. The reversal of 2001102100001 is 1000012011002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1542752789776 + 458349310225 = 1242076^2 + 677015^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001102100001 - 2⁶ = 2001102099937 is a prime.

It is a super-2 number, since 2×2001102100001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001102100003) 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 3 ways as a sum of consecutive naturals, for example, 4281560 + ... + 4725881.

It is an arithmetic number, because the mean of its divisors is an integer number (500277832401).

Almost surely, 2^{2001102100001} is an apocalyptic number.

It is an amenable number.

2001102100001 is a deficient number, since it is larger than the sum of its proper divisors (9229603).

2001102100001 is an equidigital number, since it uses as much as digits as its factorization.

2001102100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229602.

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

Adding to 2001102100001 its reverse (1000012011002), we get a palindrome (3001114111003).

The spelling of 2001102100001 in words is "two trillion, one billion, one hundred two million, one hundred thousand, one".