111020121121000 has 256 divisors, whose sum is σ = 324117940124160. Its totient is φ = 34654720665600.

The previous prime is 111020121120991. The next prime is 111020121121001. The reversal of 111020121121000 is 121121020111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (111020121121001) 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 63 ways as a sum of consecutive naturals, for example, 1713174 + ... + 14999173.

It is an arithmetic number, because the mean of its divisors is an integer number (1266085703610).

Almost surely, 2^{111020121121000} is an apocalyptic number.

111020121121000 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 111020121121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162058970062080).

111020121121000 is an abundant number, since it is smaller than the sum of its proper divisors (213097819003160).

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

111020121121000 is a wasteful number, since it uses less digits than its factorization.

111020121121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16712461 (or 16712447 counting only the distinct ones).

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

Adding to 111020121121000 its reverse (121121020111), we get a palindrome (111141242141111).

The spelling of 111020121121000 in words is "one hundred eleven trillion, twenty billion, one hundred twenty-one million, one hundred twenty-one thousand".