2001102110001 has 24 divisors (see below), whose sum is σ = 2997976843680. Its totient is φ = 1333871727552.

The previous prime is 2001102109931. The next prime is 2001102110023. The reversal of 2001102110001 is 1000112011002.

It is a happy number.

It is not a de Polignac number, because 2001102110001 - 2⁷ = 2001102109873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2001107110001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057830 + ... + 2263008.

It is an arithmetic number, because the mean of its divisors is an integer number (124915701820).

Almost surely, 2^{2001102110001} is an apocalyptic number.

It is an amenable number.

2001102110001 is a deficient number, since it is larger than the sum of its proper divisors (996874733679).

2001102110001 is an equidigital number, since it uses as much as digits as its factorization.

2001102110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212027 (or 1212015 counting only the distinct ones).

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

Adding to 2001102110001 its reverse (1000112011002), we get a palindrome (3001214121003).

The spelling of 2001102110001 in words is "two trillion, one billion, one hundred two million, one hundred ten thousand, one".