11001404004100 has 18 divisors (see below), whose sum is σ = 23873046689114. Its totient is φ = 4400561601600.

The previous prime is 11001404004077. The next prime is 11001404004131. The reversal of 11001404004100 is 140040410011.

It can be written as a sum of positive squares in 3 ways, for example, as 676338470404 + 10325065533696 = 822398^2 + 3213264^2 .

It is a super-2 number, since 2×11001404004100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55007019921 + ... + 55007020120.

Almost surely, 2^{11001404004100} is an apocalyptic number.

11001404004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001404004100 is an abundant number, since it is smaller than the sum of its proper divisors (12871642685014).

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

11001404004100 is a wasteful number, since it uses less digits than its factorization.

11001404004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110014040055 (or 110014040048 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11001404004100 its reverse (140040410011), we get a palindrome (11141444414111).

The spelling of 11001404004100 in words is "eleven trillion, one billion, four hundred four million, four thousand, one hundred".