13111102102100 has 72 divisors (see below), whose sum is σ = 29433586114296. Its totient is φ = 5065868800000.

The previous prime is 13111102102099. The next prime is 13111102102117. The reversal of 13111102102100 is 120120111131.

It can be written as a sum of positive squares in 12 ways, for example, as 4074116181136 + 9036985920964 = 2018444^2 + 3006158^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15416741 + ... + 16244940.

It is an arithmetic number, because the mean of its divisors is an integer number (408799807143).

Almost surely, 2^{13111102102100} is an apocalyptic number.

13111102102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111102102100 is an abundant number, since it is smaller than the sum of its proper divisors (16322484012196).

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

13111102102100 is a wasteful number, since it uses less digits than its factorization.

13111102102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31661837 (or 31661830 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 13111102102100 its reverse (120120111131), we get a palindrome (13231222213231).

The spelling of 13111102102100 in words is "thirteen trillion, one hundred eleven billion, one hundred two million, one hundred two thousand, one hundred".