11014004100 has 72 divisors (see below), whose sum is σ = 34764212448. Its totient is φ = 2670060800.

The previous prime is 11014004093. The next prime is 11014004117. The reversal of 11014004100 is 140041011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1665489 + ... + 1672088.

It is an arithmetic number, because the mean of its divisors is an integer number (482836284).

Almost surely, 2^11014004100 is an apocalyptic number.

11014004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11014004100 is an abundant number, since it is smaller than the sum of its proper divisors (23750208348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11014004100 is a wasteful number, since it uses less digits than its factorization.

11014004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337605 (or 3337598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11014004100 its reverse (140041011), we get a palindrome (11154045111).

It can be divided in two parts, 1 and 1014004100, that added together give a palindrome (1014004101).

The spelling of 11014004100 in words is "eleven billion, fourteen million, four thousand, one hundred".