11101142401 has 16 divisors (see below), whose sum is σ = 11610181008. Its totient is φ = 10606752000.

The previous prime is 11101142389. The next prime is 11101142453. The reversal of 11101142401 is 10424110111.

It can be written as a sum of positive squares in 8 ways, for example, as 284934400 + 10816208001 = 16880^2 + 104001^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101142401 - 2¹⁷ = 11101011329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101142471) 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 15 ways as a sum of consecutive naturals, for example, 309535 + ... + 343531.

It is an arithmetic number, because the mean of its divisors is an integer number (725636313).

Almost surely, 2^11101142401 is an apocalyptic number.

It is an amenable number.

11101142401 is a deficient number, since it is larger than the sum of its proper divisors (509038607).

11101142401 is a wasteful number, since it uses less digits than its factorization.

11101142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34212.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11101142401 its reverse (10424110111), we get a palindrome (21525252512).

The spelling of 11101142401 in words is "eleven billion, one hundred one million, one hundred forty-two thousand, four hundred one".