120221121102000 has 80 divisors (see below), whose sum is σ = 387592894452192. Its totient is φ = 32058965625600.

The previous prime is 120221121101987. The next prime is 120221121102029. The reversal of 120221121102000 is 201121122021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×120221121102000³ (a number of 43 digits) contains 333 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 10018420759 + ... + 10018432758.

Almost surely, 2^{120221121102000} is an apocalyptic number.

120221121102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221121102000 is an abundant number, since it is smaller than the sum of its proper divisors (267371773350192).

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

120221121102000 is a wasteful number, since it uses less digits than its factorization.

120221121102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20036853543 (or 20036853527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120221121102000 its reverse (201121122021), we get a palindrome (120422242224021).

The spelling of 120221121102000 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred two thousand".