120100221202000 has 160 divisors (see below), whose sum is σ = 323525149627680. Its totient is φ = 42815569305600.

The previous prime is 120100221201997. The next prime is 120100221202051. The reversal of 120100221202000 is 202122001021.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 99833189622336 + 20267031579664 = 9991656^2 + 4501892^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78888057 + ... + 80396056.

It is an arithmetic number, because the mean of its divisors is an integer number (2022032185173).

Almost surely, 2^{120100221202000} is an apocalyptic number.

120100221202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100221202000 is an abundant number, since it is smaller than the sum of its proper divisors (203424928425680).

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

120100221202000 is a wasteful number, since it uses less digits than its factorization.

120100221202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159284178 (or 159284162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120100221202000 its reverse (202122001021), we get a palindrome (120302343203021).

The spelling of 120100221202000 in words is "one hundred twenty trillion, one hundred billion, two hundred twenty-one million, two hundred two thousand".