11101111001001 has 48 divisors (see below), whose sum is σ = 19569096668160. Its totient is φ = 5927178257280.

The previous prime is 11101111000957. The next prime is 11101111001129. The reversal of 11101111001001 is 10010011110111.

It is not a de Polignac number, because 11101111001001 - 2¹¹ = 11101110998953 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 (11101111051001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97945650 + ... + 98058923.

It is an arithmetic number, because the mean of its divisors is an integer number (407689513920).

Almost surely, 2^{11101111001001} is an apocalyptic number.

It is an amenable number.

11101111001001 is a deficient number, since it is larger than the sum of its proper divisors (8467985667159).

11101111001001 is a wasteful number, since it uses less digits than its factorization.

11101111001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196004646 (or 196004643 counting only the distinct ones).

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

Adding to 11101111001001 its reverse (10010011110111), we get a palindrome (21111122111112).

It can be divided in two parts, 1110111 and 1001001, that multiplied together give a palindrome (1111222221111).

The spelling of 11101111001001 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one thousand, one".