121110201221000 has 32 divisors (see below), whose sum is σ = 283397870859480. Its totient is φ = 48444080488000.

The previous prime is 121110201220933. The next prime is 121110201221011. The reversal of 121110201221000 is 122102011121.

It can be written as a sum of positive squares in 4 ways, for example, as 6226831511044 + 114883369709956 = 2495362^2 + 10718366^2 .

It is a super-3 number, since 3×121110201221000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 60555099611 + ... + 60555101610.

Almost surely, 2^{121110201221000} is an apocalyptic number.

121110201221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121110201221000 is an abundant number, since it is smaller than the sum of its proper divisors (162287669638480).

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

121110201221000 is a wasteful number, since it uses less digits than its factorization.

121110201221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121110201242 (or 121110201228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121110201221000 its reverse (122102011121), we get a palindrome (121232303232121).

The spelling of 121110201221000 in words is "one hundred twenty-one trillion, one hundred ten billion, two hundred one million, two hundred twenty-one thousand".