11002401322100 has 36 divisors (see below), whose sum is σ = 23942846104044. Its totient is φ = 4388493204480.

The previous prime is 11002401322093. The next prime is 11002401322123. The reversal of 11002401322100 is 122310420011.

It can be written as a sum of positive squares in 6 ways, for example, as 4873994596 + 10997527327504 = 69814^2 + 3316252^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 155806079 + ... + 155876678.

Almost surely, 2^{11002401322100} is an apocalyptic number.

11002401322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002401322100 is an abundant number, since it is smaller than the sum of its proper divisors (12940444781944).

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

11002401322100 is a wasteful number, since it uses less digits than its factorization.

11002401322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311683124 (or 311683117 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11002401322100 its reverse (122310420011), we get a palindrome (11124711742111).

The spelling of 11002401322100 in words is "eleven trillion, two billion, four hundred one million, three hundred twenty-two thousand, one hundred".