121101333441000 has 512 divisors, whose sum is σ = 434125958123520. Its totient is φ = 27819006336000.

The previous prime is 121101333440963. The next prime is 121101333441037. The reversal of 121101333441000 is 144333101121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121101333440963) and next prime (121101333441037).

It is a super-2 number, since 2×121101333441000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 80467422 + ... + 81958578.

It is an arithmetic number, because the mean of its divisors is an integer number (847902261960).

Almost surely, 2^{121101333441000} is an apocalyptic number.

121101333441000 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 121101333441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217062979061760).

121101333441000 is an abundant number, since it is smaller than the sum of its proper divisors (313024624682520).

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

121101333441000 is a wasteful number, since it uses less digits than its factorization.

121101333441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491322 (or 1491308 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 121101333441000 its reverse (144333101121), we get a palindrome (121245666542121).

The spelling of 121101333441000 in words is "one hundred twenty-one trillion, one hundred one billion, three hundred thirty-three million, four hundred forty-one thousand".