11101211001140 has 72 divisors (see below), whose sum is σ = 25265700569088. Its totient is φ = 4095346070400.

The previous prime is 11101211001119. The next prime is 11101211001169. The reversal of 11101211001140 is 4110011210111.

It is a happy number.

It is a super-2 number, since 2×11101211001140² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2463629 + ... + 5317131.

It is an arithmetic number, because the mean of its divisors is an integer number (350912507904).

Almost surely, 2^{11101211001140} is an apocalyptic number.

11101211001140 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 11101211001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632850284544).

11101211001140 is an abundant number, since it is smaller than the sum of its proper divisors (14164489567948).

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

11101211001140 is a wasteful number, since it uses less digits than its factorization.

11101211001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854689 (or 2854674 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11101211001140 its reverse (4110011210111), we get a palindrome (15211222211251).

The spelling of 11101211001140 in words is "eleven trillion, one hundred one billion, two hundred eleven million, one thousand, one hundred forty".