11102200011120 has 80 divisors (see below), whose sum is σ = 35347004388000. Its totient is φ = 2880570811392.

The previous prime is 11102200011109. The next prime is 11102200011127. The reversal of 11102200011120 is 2111000220111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×11102200011120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11102200011096 and 11102200011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102200011127) 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 15 ways as a sum of consecutive naturals, for example, 625114995 + ... + 625132754.

It is an arithmetic number, because the mean of its divisors is an integer number (441837554850).

Almost surely, 2^{11102200011120} is an apocalyptic number.

11102200011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102200011120 is an abundant number, since it is smaller than the sum of its proper divisors (24244804376880).

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

11102200011120 is a wasteful number, since it uses less digits than its factorization.

11102200011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250247802 (or 1250247796 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11102200011120 its reverse (2111000220111), we get a palindrome (13213200231231).

The spelling of 11102200011120 in words is "eleven trillion, one hundred two billion, two hundred million, eleven thousand, one hundred twenty".