11122010102000 has 480 divisors, whose sum is σ = 31843319040000. Its totient is φ = 3745553011200.

The previous prime is 11122010101997. The next prime is 11122010102029. The reversal of 11122010102000 is 20101022111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1540654391 + ... + 1540661609.

It is an arithmetic number, because the mean of its divisors is an integer number (66340248000).

Almost surely, 2^{11122010102000} is an apocalyptic number.

11122010102000 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 11122010102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921659520000).

11122010102000 is an abundant number, since it is smaller than the sum of its proper divisors (20721308938000).

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

11122010102000 is a wasteful number, since it uses less digits than its factorization.

11122010102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11122010102000 its reverse (20101022111), we get a palindrome (11142111124111).

The spelling of 11122010102000 in words is "eleven trillion, one hundred twenty-two billion, ten million, one hundred two thousand".