11102111212100 has 36 divisors (see below), whose sum is σ = 24091921067844. Its totient is φ = 4440781860480.

The previous prime is 11102111212097. The next prime is 11102111212133. The reversal of 11102111212100 is 121211120111.

It can be written as a sum of positive squares in 6 ways, for example, as 3353637714436 + 7748473497664 = 1831294^2 + 2783608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6699722 + ... + 8190878.

Almost surely, 2^{11102111212100} is an apocalyptic number.

11102111212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102111212100 is an abundant number, since it is smaller than the sum of its proper divisors (12989809855744).

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

11102111212100 is a wasteful number, since it uses less digits than its factorization.

11102111212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565624 (or 1565617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11102111212100 its reverse (121211120111), we get a palindrome (11223322332211).

The spelling of 11102111212100 in words is "eleven trillion, one hundred two billion, one hundred eleven million, two hundred twelve thousand, one hundred".