11022102200010 has 256 divisors, whose sum is σ = 29512579350528. Its totient is φ = 2612113920000.

The previous prime is 11022102199949. The next prime is 11022102200041. The reversal of 11022102200010 is 1000220122011.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2478545607 + ... + 2478550053.

It is an arithmetic number, because the mean of its divisors is an integer number (115283513088).

Almost surely, 2^{11022102200010} is an apocalyptic number.

11022102200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022102200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756289675264).

11022102200010 is an abundant number, since it is smaller than the sum of its proper divisors (18490477150518).

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

11022102200010 is a wasteful number, since it uses less digits than its factorization.

11022102200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429.

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

Adding to 11022102200010 its reverse (1000220122011), we get a palindrome (12022322322021).

The spelling of 11022102200010 in words is "eleven trillion, twenty-two billion, one hundred two million, two hundred thousand, ten".