121101121001220 has 192 divisors, whose sum is σ = 352030444899840. Its totient is φ = 31068598579200.

The previous prime is 121101121001219. The next prime is 121101121001233. The reversal of 121101121001220 is 22100121101121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121101121001220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1476423810 + ... + 1476505830.

It is an arithmetic number, because the mean of its divisors is an integer number (1833491900520).

Almost surely, 2^{121101121001220} is an apocalyptic number.

121101121001220 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 121101121001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176015222449920).

121101121001220 is an abundant number, since it is smaller than the sum of its proper divisors (230929323898620).

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

121101121001220 is a wasteful number, since it uses less digits than its factorization.

121101121001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85086 (or 85084 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121101121001220 its reverse (22100121101121), we get a palindrome (143201242102341).

Subtracting from 121101121001220 its reverse (22100121101121), we obtain a palindrome (99000999900099).

The spelling of 121101121001220 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred twenty-one million, one thousand, two hundred twenty".