11000102100 has 144 divisors (see below), whose sum is σ = 34347093312. Its totient is φ = 2702039040.

The previous prime is 11000102089. The next prime is 11000102111. The reversal of 11000102100 is 120100011.

11000102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11000102089) and next prime (11000102111).

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 a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2037004 + ... + 2042396.

Almost surely, 2^11000102100 is an apocalyptic number.

11000102100 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 11000102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173546656).

11000102100 is an abundant number, since it is smaller than the sum of its proper divisors (23346991212).

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

11000102100 is a wasteful number, since it uses less digits than its factorization.

11000102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5939 counting only the distinct ones).

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

Adding to 11000102100 its reverse (120100011), we get a palindrome (11120202111).

The spelling of 11000102100 in words is "eleven billion, one hundred two thousand, one hundred".