11101221121000 has 64 divisors (see below), whose sum is σ = 25992827340480. Its totient is φ = 4437758548800.

The previous prime is 11101221120967. The next prime is 11101221121007. The reversal of 11101221121000 is 12112210111.

It is a happy number.

11101221121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11101221121000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11101221121007) 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, 1784562 + ... + 5038561.

It is an arithmetic number, because the mean of its divisors is an integer number (406137927195).

Almost surely, 2^{11101221121000} is an apocalyptic number.

11101221121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101221121000 is an abundant number, since it is smaller than the sum of its proper divisors (14891606219480).

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

11101221121000 is a wasteful number, since it uses less digits than its factorization.

11101221121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824771 (or 6824757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11101221121000 its reverse (12112210111), we get a palindrome (11113333331111).

The spelling of 11101221121000 in words is "eleven trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand".