2000101000001 has 16 divisors (see below), whose sum is σ = 2195040644496. Its totient is φ = 1811044874496.

The previous prime is 2000100999997. The next prime is 2000101000021. The reversal of 2000101000001 is 1000001010002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 45909490225 + 1954191509776 = 214265^2 + 1397924^2 .

It is not a de Polignac number, because 2000101000001 - 2² = 2000100999997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000101000021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3134531 + ... + 3718263.

It is an arithmetic number, because the mean of its divisors is an integer number (137190040281).

Almost surely, 2^{2000101000001} is an apocalyptic number.

It is an amenable number.

2000101000001 is a deficient number, since it is larger than the sum of its proper divisors (194939644495).

2000101000001 is a wasteful number, since it uses less digits than its factorization.

2000101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588772.

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

Adding to 2000101000001 its reverse (1000001010002), we get a palindrome (3000102010003).

The spelling of 2000101000001 in words is "two trillion, one hundred one million, one", and thus it is an aban number.