11101120100000 has 144 divisors (see below), whose sum is σ = 31219904048256. Its totient is φ = 3806098080000.

The previous prime is 11101120099991. The next prime is 11101120100011. The reversal of 11101120100000 is 102110111.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7229372 + ... + 8629371.

It is an arithmetic number, because the mean of its divisors is an integer number (216804889224).

Almost surely, 2^{11101120100000} is an apocalyptic number.

11101120100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101120100000 is an abundant number, since it is smaller than the sum of its proper divisors (20118783948256).

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

11101120100000 is an frugal number, since it uses more digits than its factorization.

11101120100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15858785 (or 15858757 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11101120100000 its reverse (102110111), we get a palindrome (11101222210111).

The spelling of 11101120100000 in words is "eleven trillion, one hundred one billion, one hundred twenty million, one hundred thousand".