11101011110001 has 12 divisors (see below), whose sum is σ = 16040626816500. Its totient is φ = 7397981923680.

The previous prime is 11101011109987. The next prime is 11101011110041. The reversal of 11101011110001 is 10001111010111.

It can be written as a sum of positive squares in 2 ways, for example, as 2309792040000 + 8791219070001 = 1519800^2 + 2964999^2 .

It is not a de Polignac number, because 11101011110001 - 2³¹ = 11098863626353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11101011110041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224319690 + ... + 224369171.

It is an arithmetic number, because the mean of its divisors is an integer number (1336718901375).

Almost surely, 2^{11101011110001} is an apocalyptic number.

It is an amenable number.

11101011110001 is a deficient number, since it is larger than the sum of its proper divisors (4939615706499).

11101011110001 is a wasteful number, since it uses less digits than its factorization.

11101011110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448691616 (or 448691613 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11101011110001 its reverse (10001111010111), we get a palindrome (21102122120112).

It can be divided in two parts, 111010111 and 10001, that multiplied together give a palindrome (1110212120111).

The spelling of 11101011110001 in words is "eleven trillion, one hundred one billion, eleven million, one hundred ten thousand, one".