11101111110001 has 64 divisors (see below), whose sum is σ = 12703350546432. Its totient is φ = 9613002240000.

The previous prime is 11101111109999. The next prime is 11101111110017. The reversal of 11101111110001 is 10001111110111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11101111110001 - 2¹ = 11101111109999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11101111110001.

It is not an unprimeable number, because it can be changed into a prime (11101111110091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1221105466 + ... + 1221114556.

It is an arithmetic number, because the mean of its divisors is an integer number (198489852288).

Almost surely, 2^{11101111110001} is an apocalyptic number.

11101111110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101111110001 is a deficient number, since it is larger than the sum of its proper divisors (1602239436431).

11101111110001 is a wasteful number, since it uses less digits than its factorization.

11101111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9614.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11101111110001 its reverse (10001111110111), we get a palindrome (21102222220112).

It can be divided in two parts, 1110 and 1111110001, that added together give a palindrome (1111111111).

The spelling of 11101111110001 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one".