11102133212100 has 216 divisors, whose sum is σ = 40014301629120. Its totient is φ = 2522061930240.

The previous prime is 11102133212087. The next prime is 11102133212147. The reversal of 11102133212100 is 121233120111.

11102133212100 is a `hidden beast` number, since 1 + 110 + 21 + 3 + 321 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4378755 + ... + 6432554.

Almost surely, 2^{11102133212100} is an apocalyptic number.

11102133212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102133212100 is an abundant number, since it is smaller than the sum of its proper divisors (28912168417020).

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

11102133212100 is a wasteful number, since it uses less digits than its factorization.

11102133212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811499 (or 10811489 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11102133212100 its reverse (121233120111), we get a palindrome (11223366332211).

The spelling of 11102133212100 in words is "eleven trillion, one hundred two billion, one hundred thirty-three million, two hundred twelve thousand, one hundred".