1011104001 has 12 divisors (see below), whose sum is σ = 1460760912. Its totient is φ = 673941336.

The previous prime is 1011103987. The next prime is 1011104011. The reversal of 1011104001 is 1004011101.

It is not a de Polignac number, because 1011104001 - 2¹⁴ = 1011087617 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 (1011104011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79270 + ... + 91136.

It is an arithmetic number, because the mean of its divisors is an integer number (121730076).

Almost surely, 2^1011104001 is an apocalyptic number.

It is an amenable number.

1011104001 is a deficient number, since it is larger than the sum of its proper divisors (449656911).

1011104001 is a wasteful number, since it uses less digits than its factorization.

1011104001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21340 (or 21337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011104001 is about 31797.8615790433. The cubic root of 1011104001 is about 1003.6877176882.

Adding to 1011104001 its reverse (1004011101), we get a palindrome (2015115102).

It can be divided in two parts, 101110 and 4001, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 1011104001 in words is "one billion, eleven million, one hundred four thousand, one".