2001110120001 has 24 divisors (see below), whose sum is σ = 2967511225536. Its totient is φ = 1298910556320.

The previous prime is 2001110119991. The next prime is 2001110120011. The reversal of 2001110120001 is 1000210111002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001110119991) and next prime (2001110120011).

It is not a de Polignac number, because 2001110120001 - 2¹¹ = 2001110117953 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 (2001110120011) 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, 15949725 + ... + 16074698.

It is an arithmetic number, because the mean of its divisors is an integer number (123646301064).

Almost surely, 2^{2001110120001} is an apocalyptic number.

It is an amenable number.

2001110120001 is a deficient number, since it is larger than the sum of its proper divisors (966401105535).

2001110120001 is a wasteful number, since it uses less digits than its factorization.

2001110120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32024613 (or 32024610 counting only the distinct ones).

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

Adding to 2001110120001 its reverse (1000210111002), we get a palindrome (3001320231003).

The spelling of 2001110120001 in words is "two trillion, one billion, one hundred ten million, one hundred twenty thousand, one".