11101110101001 has 8 divisors (see below), whose sum is σ = 16446089038560. Its totient is φ = 7400740067316.

The previous prime is 11101110100933. The next prime is 11101110101017. The reversal of 11101110101001 is 10010101110111.

It is not a de Polignac number, because 11101110101001 - 2¹⁸ = 11101109838857 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 (11101110101701) 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 7 ways as a sum of consecutive naturals, for example, 205576112955 + ... + 205576113008.

It is an arithmetic number, because the mean of its divisors is an integer number (2055761129820).

Almost surely, 2^{11101110101001} is an apocalyptic number.

It is an amenable number.

11101110101001 is a deficient number, since it is larger than the sum of its proper divisors (5344978937559).

11101110101001 is an equidigital number, since it uses as much as digits as its factorization.

11101110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411152225972 (or 411152225966 counting only the distinct ones).

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

Adding to 11101110101001 its reverse (10010101110111), we get a palindrome (21111211211112).

The spelling of 11101110101001 in words is "eleven trillion, one hundred one billion, one hundred ten million, one hundred one thousand, one".