111100222002000 has 1280 divisors, whose sum is σ = 464813255761920. Its totient is φ = 22152517632000.

The previous prime is 111100222001981. The next prime is 111100222002019. The reversal of 111100222002000 is 200222001111.

It is an interprime number because it is at equal distance from previous prime (111100222001981) and next prime (111100222002019).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2183848564 + ... + 2183899436.

It is an arithmetic number, because the mean of its divisors is an integer number (363135356064).

Almost surely, 2^{111100222002000} is an apocalyptic number.

111100222002000 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 111100222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232406627880960).

111100222002000 is an abundant number, since it is smaller than the sum of its proper divisors (353713033759920).

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

111100222002000 is a wasteful number, since it uses less digits than its factorization.

111100222002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51109 (or 51093 counting only the distinct ones).

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

Adding to 111100222002000 its reverse (200222001111), we get a palindrome (111300444003111).

The spelling of 111100222002000 in words is "one hundred eleven trillion, one hundred billion, two hundred twenty-two million, two thousand".