11102002100113 has 8 divisors (see below), whose sum is σ = 11116821729728. Its totient is φ = 11087187555024.

The previous prime is 11102002100069. The next prime is 11102002100131. The reversal of 11102002100113 is 31100120020111.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11102002100113 is a prime.

It is a super-3 number, since 3×11102002100113³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11102002100093 and 11102002100102.

It is not an unprimeable number, because it can be changed into a prime (11102002100213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3108820 + ... + 5645242.

It is an arithmetic number, because the mean of its divisors is an integer number (1389602716216).

Almost surely, 2^{11102002100113} is an apocalyptic number.

It is an amenable number.

11102002100113 is a deficient number, since it is larger than the sum of its proper divisors (14819629615).

11102002100113 is an equidigital number, since it uses as much as digits as its factorization.

11102002100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542263.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11102002100113 its reverse (31100120020111), we get a palindrome (42202122120224).

The spelling of 11102002100113 in words is "eleven trillion, one hundred two billion, two million, one hundred thousand, one hundred thirteen".