2001114101 has 16 divisors (see below), whose sum is σ = 2346072960. Its totient is φ = 1671045120.

The previous prime is 2001114053. The next prime is 2001114119. The reversal of 2001114101 is 1014111002.

It is a cyclic number.

It is not a de Polignac number, because 2001114101 - 2¹⁴ = 2001097717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001114191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216170 + ... + 225236.

It is an arithmetic number, because the mean of its divisors is an integer number (146629560).

Almost surely, 2^2001114101 is an apocalyptic number.

It is an amenable number.

2001114101 is a deficient number, since it is larger than the sum of its proper divisors (344958859).

2001114101 is an equidigital number, since it uses as much as digits as its factorization.

2001114101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2001114101 is about 44733.8138436686. The cubic root of 2001114101 is about 1260.1549530186.

Adding to 2001114101 its reverse (1014111002), we get a palindrome (3015225103).

The spelling of 2001114101 in words is "two billion, one million, one hundred fourteen thousand, one hundred one".