11200222200102 has 192 divisors, whose sum is σ = 26696150208000. Its totient is φ = 3110744494080.

The previous prime is 11200222200029. The next prime is 11200222200103. The reversal of 11200222200102 is 20100222200211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200222200103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54426399 + ... + 54631797.

It is an arithmetic number, because the mean of its divisors is an integer number (139042449000).

Almost surely, 2^{11200222200102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200222200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348075104000).

11200222200102 is an abundant number, since it is smaller than the sum of its proper divisors (15495928007898).

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

11200222200102 is a wasteful number, since it uses less digits than its factorization.

11200222200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205551 (or 205534 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11200222200102 its reverse (20100222200211), we get a palindrome (31300444400313).

The spelling of 11200222200102 in words is "eleven trillion, two hundred billion, two hundred twenty-two million, two hundred thousand, one hundred two".