2001102114 has 24 divisors (see below), whose sum is σ = 4399118640. Its totient is φ = 606394360.

The previous prime is 2001102101. The next prime is 2001102119. The reversal of 2001102114 is 4112011002.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001102114.

It is not an unprimeable number, because it can be changed into a prime (2001102119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1377444 + ... + 1378895.

It is an arithmetic number, because the mean of its divisors is an integer number (183296610).

Almost surely, 2^2001102114 is an apocalyptic number.

2001102114 is an abundant number, since it is smaller than the sum of its proper divisors (2398016526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001102114 is a wasteful number, since it uses less digits than its factorization.

2001102114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756366 (or 2756355 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2001102114 is about 44733.6798620458. The cubic root of 2001102114 is about 1260.1524368356.

Adding to 2001102114 its reverse (4112011002), we get a palindrome (6113113116).

The spelling of 2001102114 in words is "two billion, one million, one hundred two thousand, one hundred fourteen".