11200002102000 has 240 divisors, whose sum is σ = 39127411146720. Its totient is φ = 2985939072000.

The previous prime is 11200002101993. The next prime is 11200002102007. The reversal of 11200002102000 is 20120000211.

It is an interprime number because it is at equal distance from previous prime (11200002101993) and next prime (11200002102007).

It is a tau number, because it is divible by the number of its divisors (240).

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 (11200002102007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75868260 + ... + 76015740.

It is an arithmetic number, because the mean of its divisors is an integer number (163030879778).

Almost surely, 2^{11200002102000} is an apocalyptic number.

11200002102000 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 11200002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19563705573360).

11200002102000 is an abundant number, since it is smaller than the sum of its proper divisors (27927409044720).

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

11200002102000 is a wasteful number, since it uses less digits than its factorization.

11200002102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151729 (or 151710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11200002102000 its reverse (20120000211), we get a palindrome (11220122102211).

The spelling of 11200002102000 in words is "eleven trillion, two hundred billion, two million, one hundred two thousand".