11101121020000 has 240 divisors, whose sum is σ = 30007610740800. Its totient is φ = 4007718720000.

The previous prime is 11101121019941. The next prime is 11101121020001. The reversal of 11101121020000 is 2012110111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101121020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30398491 + ... + 30761509.

It is an arithmetic number, because the mean of its divisors is an integer number (125031711420).

Almost surely, 2^{11101121020000} is an apocalyptic number.

11101121020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15003805370400).

11101121020000 is an abundant number, since it is smaller than the sum of its proper divisors (18906489720800).

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

11101121020000 is a wasteful number, since it uses less digits than its factorization.

11101121020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363199 (or 363176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11101121020000 its reverse (2012110111), we get a palindrome (11103133130111).

The spelling of 11101121020000 in words is "eleven trillion, one hundred one billion, one hundred twenty-one million, twenty thousand".