120001002201000 has 512 divisors, whose sum is σ = 429505390080000. Its totient is φ = 30962055168000.

The previous prime is 120001002200999. The next prime is 120001002201029. The reversal of 120001002201000 is 102200100021.

120001002201000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5839738726 + ... + 5839759274.

It is an arithmetic number, because the mean of its divisors is an integer number (838877715000).

Almost surely, 2^{120001002201000} is an apocalyptic number.

120001002201000 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 120001002201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214752695040000).

120001002201000 is an abundant number, since it is smaller than the sum of its proper divisors (309504387879000).

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

120001002201000 is a wasteful number, since it uses less digits than its factorization.

120001002201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27587 (or 27567 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120001002201000 its reverse (102200100021), we get a palindrome (120103202301021).

The spelling of 120001002201000 in words is "one hundred twenty trillion, one billion, two million, two hundred one thousand".