11111011100001 has 6 divisors (see below), whose sum is σ = 16049238255570. Its totient is φ = 7407340733328.

The previous prime is 11111011099901. The next prime is 11111011100009. The reversal of 11111011100001 is 10000111011111.

It can be written as a sum of positive squares in only one way, i.e., 11076116486400 + 34894613601 = 3328080^2 + 186801^2 .

It is not a de Polignac number, because 11111011100001 - 2⁷ = 11111011099873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1234556788889 = 11111011100001 / (1 + 1 + 1 + 1 + 1 + 0 + 1 + 1 + 1 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (11111011100009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 617278394436 + ... + 617278394453.

It is an arithmetic number, because the mean of its divisors is an integer number (2674873042595).

Almost surely, 2^{11111011100001} is an apocalyptic number.

It is an amenable number.

11111011100001 is a deficient number, since it is larger than the sum of its proper divisors (4938227155569).

11111011100001 is a wasteful number, since it uses less digits than its factorization.

11111011100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234556788895 (or 1234556788892 counting only the distinct ones).

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

Adding to 11111011100001 its reverse (10000111011111), we get a palindrome (21111122111112).

The spelling of 11111011100001 in words is "eleven trillion, one hundred eleven billion, eleven million, one hundred thousand, one".