11002100100 has 288 divisors, whose sum is σ = 34392382080. Its totient is φ = 2707292160.

The previous prime is 11002100089. The next prime is 11002100101. The reversal of 11002100100 is 100120011.

11002100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11002100100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (11002100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57005604 + ... + 57005796.

Almost surely, 2^11002100100 is an apocalyptic number.

11002100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196191040).

11002100100 is an abundant number, since it is smaller than the sum of its proper divisors (23390281980).

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

11002100100 is a wasteful number, since it uses less digits than its factorization.

11002100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11002100100 its reverse (100120011), we get a palindrome (11102220111).

The spelling of 11002100100 in words is "eleven billion, two million, one hundred thousand, one hundred".