11102000102100 has 216 divisors, whose sum is σ = 35485954253568. Its totient is φ = 2902626662400.

The previous prime is 11102000102077. The next prime is 11102000102101. The reversal of 11102000102100 is 120100020111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102000102101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8746845 + ... + 9935355.

It is an arithmetic number, because the mean of its divisors is an integer number (164286825248).

Almost surely, 2^{11102000102100} is an apocalyptic number.

11102000102100 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 11102000102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17742977126784).

11102000102100 is an abundant number, since it is smaller than the sum of its proper divisors (24383954151468).

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

11102000102100 is a wasteful number, since it uses less digits than its factorization.

11102000102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188735 (or 1188725 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11102000102100 its reverse (120100020111), we get a palindrome (11222100122211).

The spelling of 11102000102100 in words is "eleven trillion, one hundred two billion, one hundred two thousand, one hundred".