11202111102113 has 8 divisors (see below), whose sum is σ = 11865239710632. Its totient is φ = 10539447037696.

The previous prime is 11202111102103. The next prime is 11202111102121. The reversal of 11202111102113 is 31120111120211.

It can be written as a sum of positive squares in 4 ways, for example, as 92235512209 + 11109875589904 = 303703^2 + 3333148^2 .

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-11202111102113 is a prime.

It is a super-3 number, since 3×11202111102113³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 11202111102091 and 11202111102100.

It is not an unprimeable number, because it can be changed into a prime (11202111102103) 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 7 ways as a sum of consecutive naturals, for example, 116086370 + ... + 116182827.

It is an arithmetic number, because the mean of its divisors is an integer number (1483154963829).

Almost surely, 2^{11202111102113} is an apocalyptic number.

It is an amenable number.

11202111102113 is a deficient number, since it is larger than the sum of its proper divisors (663128608519).

11202111102113 is a wasteful number, since it uses less digits than its factorization.

11202111102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232272051.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 11202111102113 its reverse (31120111120211), we get a palindrome (42322222222324).

The spelling of 11202111102113 in words is "eleven trillion, two hundred two billion, one hundred eleven million, one hundred two thousand, one hundred thirteen".