111202100022000 has 1280 divisors, whose sum is σ = 417368446709760. Its totient is φ = 25255600128000.

The previous prime is 111202100021989. The next prime is 111202100022001. The reversal of 111202100022000 is 220001202111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111202100022001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6546297507 + ... + 6546314493.

It is an arithmetic number, because the mean of its divisors is an integer number (326069098992).

Almost surely, 2^{111202100022000} is an apocalyptic number.

111202100022000 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 111202100022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208684223354880).

111202100022000 is an abundant number, since it is smaller than the sum of its proper divisors (306166346687760).

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

111202100022000 is a wasteful number, since it uses less digits than its factorization.

111202100022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17179 (or 17163 counting only the distinct ones).

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

Adding to 111202100022000 its reverse (220001202111), we get a palindrome (111422101224111).

The spelling of 111202100022000 in words is "one hundred eleven trillion, two hundred two billion, one hundred million, twenty-two thousand".