11101121011200 has 480 divisors, whose sum is σ = 41086956873600. Its totient is φ = 2618442547200.

The previous prime is 11101121011199. The next prime is 11101121011241. The reversal of 11101121011200 is 211012110111.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11101121011200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15273651 + ... + 15983949.

It is an arithmetic number, because the mean of its divisors is an integer number (85597826820).

Almost surely, 2^{11101121011200} is an apocalyptic number.

11101121011200 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 11101121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20543478436800).

11101121011200 is an abundant number, since it is smaller than the sum of its proper divisors (29985835862400).

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

11101121011200 is a wasteful number, since it uses less digits than its factorization.

11101121011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710378 (or 710357 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11101121011200 its reverse (211012110111), we get a palindrome (11312133121311).

The spelling of 11101121011200 in words is "eleven trillion, one hundred one billion, one hundred twenty-one million, eleven thousand, two hundred".