11121220121010 has 256 divisors, whose sum is σ = 28954673510400. Its totient is φ = 2724655159296.

The previous prime is 11121220121009. The next prime is 11121220121027. The reversal of 11121220121010 is 1012102212111.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4380156321 + ... + 4380158859.

It is an arithmetic number, because the mean of its divisors is an integer number (113104193400).

Almost surely, 2^{11121220121010} is an apocalyptic number.

11121220121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121220121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477336755200).

11121220121010 is an abundant number, since it is smaller than the sum of its proper divisors (17833453389390).

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

11121220121010 is a wasteful number, since it uses less digits than its factorization.

11121220121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11121220121010 its reverse (1012102212111), we get a palindrome (12133322333121).

The spelling of 11121220121010 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, ten".