11101010101140 has 96 divisors (see below), whose sum is σ = 31121608089600. Its totient is φ = 2956577500800.

The previous prime is 11101010101133. The next prime is 11101010101141. The reversal of 11101010101140 is 4110101010111.

It is a super-2 number, since 2×11101010101140² (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 not an unprimeable number, because it can be changed into a prime (11101010101141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 278906961 + ... + 278946759.

It is an arithmetic number, because the mean of its divisors is an integer number (324183417600).

Almost surely, 2^{11101010101140} is an apocalyptic number.

11101010101140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101010101140 is an abundant number, since it is smaller than the sum of its proper divisors (20020597988460).

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

11101010101140 is a wasteful number, since it uses less digits than its factorization.

11101010101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45493 (or 45491 counting only the distinct ones).

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

Adding to 11101010101140 its reverse (4110101010111), we get a palindrome (15211111111251).

The spelling of 11101010101140 in words is "eleven trillion, one hundred one billion, ten million, one hundred one thousand, one hundred forty".