11201121121110 has 32 divisors (see below), whose sum is σ = 26904528870912. Its totient is φ = 2984539167840.

The previous prime is 11201121121067. The next prime is 11201121121111. The reversal of 11201121121110 is 1112112110211.

It is a super-2 number, since 2×11201121121110² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11201121121110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201121121111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151616484 + ... + 151690343.

It is an arithmetic number, because the mean of its divisors is an integer number (840766527216).

Almost surely, 2^{11201121121110} is an apocalyptic number.

11201121121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11201121121110 is an abundant number, since it is smaller than the sum of its proper divisors (15703407749802).

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

11201121121110 is a wasteful number, since it uses less digits than its factorization.

11201121121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303308068.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11201121121110 its reverse (1112112110211), we get a palindrome (12313233231321).

The spelling of 11201121121110 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred ten".