2001100010101 has 4 divisors (see below), whose sum is σ = 2019458725900. Its totient is φ = 1982741294304.

The previous prime is 2001100010081. The next prime is 2001100010159. The reversal of 2001100010101 is 1010100011002.

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 826510083876 + 1174589926225 = 909126^2 + 1083785^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001100010101 - 2²³ = 2001091621493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001100010801) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9179357736 + ... + 9179357953.

It is an arithmetic number, because the mean of its divisors is an integer number (504864681475).

Almost surely, 2^{2001100010101} is an apocalyptic number.

It is an amenable number.

2001100010101 is a deficient number, since it is larger than the sum of its proper divisors (18358715799).

2001100010101 is a wasteful number, since it uses less digits than its factorization.

2001100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18358715798.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2001100010101 its reverse (1010100011002), we get a palindrome (3011200021103).

Subtracting from 2001100010101 its reverse (1010100011002), we obtain a palindrome (990999999099).

The spelling of 2001100010101 in words is "two trillion, one billion, one hundred million, ten thousand, one hundred one".