11220010102000 has 480 divisors, whose sum is σ = 31805204086656. Its totient is φ = 3817013760000.

The previous prime is 11220010101967. The next prime is 11220010102009. The reversal of 11220010102000 is 20101002211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220010102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11602905517 + ... + 11602906483.

Almost surely, 2^{11220010102000} is an apocalyptic number.

11220010102000 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 11220010102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15902602043328).

11220010102000 is an abundant number, since it is smaller than the sum of its proper divisors (20585193984656).

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

11220010102000 is a wasteful number, since it uses less digits than its factorization.

11220010102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11220010102000 its reverse (20101002211), we get a palindrome (11240111104211).

The spelling of 11220010102000 in words is "eleven trillion, two hundred twenty billion, ten million, one hundred two thousand".