2001101210001 has 6 divisors (see below), whose sum is σ = 2890479525570. Its totient is φ = 1334067473328.

The previous prime is 2001101209993. The next prime is 2001101210027. The reversal of 2001101210001 is 1000121011002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1993475729025 + 7625480976 = 1411905^2 + 87324^2 .

It is not a de Polignac number, because 2001101210001 - 2³ = 2001101209993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222344578889 = 2001101210001 / (2 + 0 + 0 + 1 + 1 + 0 + 1 + 2 + 1 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (2001101210041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111172289436 + ... + 111172289453.

It is an arithmetic number, because the mean of its divisors is an integer number (481746587595).

Almost surely, 2^{2001101210001} is an apocalyptic number.

It is an amenable number.

2001101210001 is a deficient number, since it is larger than the sum of its proper divisors (889378315569).

2001101210001 is a wasteful number, since it uses less digits than its factorization.

2001101210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222344578895 (or 222344578892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001101210001 its reverse (1000121011002), we get a palindrome (3001222221003).

The spelling of 2001101210001 in words is "two trillion, one billion, one hundred one million, two hundred ten thousand, one".