11202201011120 has 80 divisors (see below), whose sum is σ = 29814092186688. Its totient is φ = 3834529628160.

The previous prime is 11202201011039. The next prime is 11202201011143. The reversal of 11202201011120 is 2111010220211.

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

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11202201011095 and 11202201011104.

It is an unprimeable number.

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, 15865121 + ... + 16556160.

Almost surely, 2^{11202201011120} is an apocalyptic number.

11202201011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202201011120 is an abundant number, since it is smaller than the sum of its proper divisors (18611891175568).

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

11202201011120 is a wasteful number, since it uses less digits than its factorization.

11202201011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32421918 (or 32421912 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11202201011120 its reverse (2111010220211), we get a palindrome (13313211231331).

The spelling of 11202201011120 in words is "eleven trillion, two hundred two billion, two hundred one million, eleven thousand, one hundred twenty".