2102002113 has 16 divisors (see below), whose sum is σ = 2825214336. Its totient is φ = 1390097280.

The previous prime is 2102002109. The next prime is 2102002139. The reversal of 2102002113 is 3112002012.

It is not a de Polignac number, because 2102002113 - 2² = 2102002109 is a prime.

It is a super-3 number, since 3×2102002113³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102002183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256995 + ... + 265047.

It is an arithmetic number, because the mean of its divisors is an integer number (176575896).

Almost surely, 2^2102002113 is an apocalyptic number.

It is an amenable number.

2102002113 is a deficient number, since it is larger than the sum of its proper divisors (723212223).

2102002113 is a wasteful number, since it uses less digits than its factorization.

2102002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2102002113 is about 45847.5965891343. The cubic root of 2102002113 is about 1280.9859982954.

Adding to 2102002113 its reverse (3112002012), we get a palindrome (5214004125).

The spelling of 2102002113 in words is "two billion, one hundred two million, two thousand, one hundred thirteen".