11002400421100 has 108 divisors (see below), whose sum is σ = 27383998843152. Its totient is φ = 3826921788800.

The previous prime is 11002400421079. The next prime is 11002400421109. The reversal of 11002400421100 is 112400420011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11002400421109) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 19488859 + ... + 20045458.

It is an arithmetic number, because the mean of its divisors is an integer number (253555544844).

Almost surely, 2^{11002400421100} is an apocalyptic number.

11002400421100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002400421100 is an abundant number, since it is smaller than the sum of its proper divisors (16381598422052).

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

11002400421100 is a wasteful number, since it uses less digits than its factorization.

11002400421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39534376 (or 39534358 counting only the distinct ones).

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

Adding to 11002400421100 its reverse (112400420011), we get a palindrome (11114800841111).

The spelling of 11002400421100 in words is "eleven trillion, two billion, four hundred million, four hundred twenty-one thousand, one hundred".