11102200010000 has 100 divisors (see below), whose sum is σ = 29323130956944. Its totient is φ = 4037163600000.

The previous prime is 11102200009981. The next prime is 11102200010017. The reversal of 11102200010000 is 1000220111.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×11102200010000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11102200010000.

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 19 ways as a sum of consecutive naturals, for example, 50354546 + ... + 50574545.

Almost surely, 2^{11102200010000} is an apocalyptic number.

11102200010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102200010000 is an abundant number, since it is smaller than the sum of its proper divisors (18220930946944).

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

11102200010000 is a wasteful number, since it uses less digits than its factorization.

11102200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100929130 (or 100929109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11102200010000 its reverse (1000220111), we get a palindrome (11103200230111).

The spelling of 11102200010000 in words is "eleven trillion, one hundred two billion, two hundred million, ten thousand".