11002202102100 has 216 divisors, whose sum is σ = 35090909600544. Its totient is φ = 2659511008000.

The previous prime is 11002202102057. The next prime is 11002202102123. The reversal of 11002202102100 is 120120220011.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12159370 + ... + 13032830.

Almost surely, 2^{11002202102100} is an apocalyptic number.

11002202102100 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 11002202102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545454800272).

11002202102100 is an abundant number, since it is smaller than the sum of its proper divisors (24088707498444).

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

11002202102100 is a wasteful number, since it uses less digits than its factorization.

11002202102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873847 (or 873829 counting only the distinct ones).

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

Adding to 11002202102100 its reverse (120120220011), we get a palindrome (11122322322111).

The spelling of 11002202102100 in words is "eleven trillion, two billion, two hundred two million, one hundred two thousand, one hundred".