11102002222100 has 72 divisors (see below), whose sum is σ = 24136733905368. Its totient is φ = 4432441305600.

The previous prime is 11102002222093. The next prime is 11102002222141. The reversal of 11102002222100 is 122220020111.

It can be written as a sum of positive squares in 12 ways, for example, as 1169646576004 + 9932355646096 = 1081502^2 + 3151564^2 .

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 23 ways as a sum of consecutive naturals, for example, 129150734 + ... + 129236666.

Almost surely, 2^{11102002222100} is an apocalyptic number.

11102002222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102002222100 is an abundant number, since it is smaller than the sum of its proper divisors (13034731683268).

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

11102002222100 is a wasteful number, since it uses less digits than its factorization.

11102002222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88365 (or 88358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11102002222100 its reverse (122220020111), we get a palindrome (11224222242211).

The spelling of 11102002222100 in words is "eleven trillion, one hundred two billion, two million, two hundred twenty-two thousand, one hundred".