120120102100000 has 72 divisors (see below), whose sum is σ = 295589145091716. Its totient is φ = 48048040800000.

The previous prime is 120120102099983. The next prime is 120120102100007. The reversal of 120120102100000 is 1201021021.

It can be written as a sum of positive squares in 6 ways, for example, as 16055375831056 + 104064726268944 = 4006916^2 + 10201212^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 120120102100000.

It is not an unprimeable number, because it can be changed into a prime (120120102100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600500511 + ... + 600700510.

Almost surely, 2^{120120102100000} is an apocalyptic number.

120120102100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120102100000 is an abundant number, since it is smaller than the sum of its proper divisors (175469042991716).

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

120120102100000 is an frugal number, since it uses more digits than its factorization.

120120102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201201056 (or 1201201028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120120102100000 its reverse (1201021021), we get a palindrome (120121303121021).

The spelling of 120120102100000 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred two million, one hundred thousand".