111221101201000 has 256 divisors, whose sum is σ = 302409728824320. Its totient is φ = 37495820160000.

The previous prime is 111221101200961. The next prime is 111221101201027. The reversal of 111221101201000 is 102101122111.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1388990965 + ... + 1389071035.

It is an arithmetic number, because the mean of its divisors is an integer number (1181288003220).

Almost surely, 2^{111221101201000} is an apocalyptic number.

111221101201000 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 111221101201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151204864412160).

111221101201000 is an abundant number, since it is smaller than the sum of its proper divisors (191188627623320).

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

111221101201000 is a wasteful number, since it uses less digits than its factorization.

111221101201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83413 (or 83399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111221101201000 its reverse (102101122111), we get a palindrome (111323202323111).

The spelling of 111221101201000 in words is "one hundred eleven trillion, two hundred twenty-one billion, one hundred one million, two hundred one thousand".