2000100010001 has 12 divisors (see below), whose sum is σ = 2112743291904. Its totient is φ = 1893184947000.

The previous prime is 2000100009979. The next prime is 2000100010009. The reversal of 2000100010001 is 1000100010002.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2000100010001 is a prime.

It is a Duffinian number.

2000100010001 is a modest number, since divided by 100010001 gives 2 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2000100010009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1991285 + ... + 2822306.

It is an arithmetic number, because the mean of its divisors is an integer number (176061940992).

Almost surely, 2^{2000100010001} is an apocalyptic number.

It is an amenable number.

2000100010001 is a deficient number, since it is larger than the sum of its proper divisors (112643281903).

2000100010001 is a wasteful number, since it uses less digits than its factorization.

2000100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814780 (or 4814761 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 2000100010001 its reverse (1000100010002), we get a palindrome (3000200020003).

Subtracting from 2000100010001 its reverse (1000100010002), we obtain a palindrome (999999999999).

The spelling of 2000100010001 in words is "two trillion, one hundred million, ten thousand, one".