11201101010120 has 32 divisors (see below), whose sum is σ = 28802831169600. Its totient is φ = 3840377489088.

The previous prime is 11201101010101. The next prime is 11201101010153. The reversal of 11201101010120 is 2101010110211.

It is a super-2 number, since 2×11201101010120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20001965810 + ... + 20001966369.

It is an arithmetic number, because the mean of its divisors is an integer number (900088474050).

Almost surely, 2^{11201101010120} is an apocalyptic number.

11201101010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201101010120 is an abundant number, since it is smaller than the sum of its proper divisors (17601730159480).

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

11201101010120 is a wasteful number, since it uses less digits than its factorization.

11201101010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40003932197 (or 40003932193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11201101010120 its reverse (2101010110211), we get a palindrome (13302111120331).

The spelling of 11201101010120 in words is "eleven trillion, two hundred one billion, one hundred one million, ten thousand, one hundred twenty".