11102002202100 has 144 divisors (see below), whose sum is σ = 32667035287040. Its totient is φ = 2910336652800.

The previous prime is 11102002202063. The next prime is 11102002202111. The reversal of 11102002202100 is 120220020111.

11102002202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32017254 + ... + 32362146.

Almost surely, 2^{11102002202100} is an apocalyptic number.

11102002202100 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 11102002202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333517643520).

11102002202100 is an abundant number, since it is smaller than the sum of its proper divisors (21565033084940).

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

11102002202100 is a wasteful number, since it uses less digits than its factorization.

11102002202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346730 (or 346723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11102002202100 its reverse (120220020111), we get a palindrome (11222222222211).

The spelling of 11102002202100 in words is "eleven trillion, one hundred two billion, two million, two hundred two thousand, one hundred".