2000010100001 has 8 divisors (see below), whose sum is σ = 2052931858560. Its totient is φ = 1947520356208.

The previous prime is 2000010099943. The next prime is 2000010100091. The reversal of 2000010100001 is 1000010100002.

It is a happy number.

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 2000010100001 - 2²² = 2000005905697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2000010100091) 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, 107994311 + ... + 108012828.

It is an arithmetic number, because the mean of its divisors is an integer number (256616482320).

Almost surely, 2^{2000010100001} is an apocalyptic number.

It is an amenable number.

2000010100001 is a deficient number, since it is larger than the sum of its proper divisors (52921758559).

2000010100001 is a wasteful number, since it uses less digits than its factorization.

2000010100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216007383.

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

Adding to 2000010100001 its reverse (1000010100002), we get a palindrome (3000020200003).

Subtracting from 2000010100001 its reverse (1000010100002), we obtain a palindrome (999999999999).

The spelling of 2000010100001 in words is "two trillion, ten million, one hundred thousand, one".