120102202002020 has 72 divisors (see below), whose sum is σ = 293411403968760. Its totient is φ = 41175247733760.

The previous prime is 120102202001891. The next prime is 120102202002043. The reversal of 120102202002020 is 20200202201021.

It can be written as a sum of positive squares in 4 ways, for example, as 6917625899044 + 113184576102976 = 2630138^2 + 10638824^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120102202001986 and 120102202002004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11321810 + ... + 19193430.

It is an arithmetic number, because the mean of its divisors is an integer number (4075158388455).

Almost surely, 2^{120102202002020} is an apocalyptic number.

120102202002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102202002020 is an abundant number, since it is smaller than the sum of its proper divisors (173309201966740).

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

120102202002020 is a wasteful number, since it uses less digits than its factorization.

120102202002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7887213 (or 7887204 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120102202002020 its reverse (20200202201021), we get a palindrome (140302404203041).

The spelling of 120102202002020 in words is "one hundred twenty trillion, one hundred two billion, two hundred two million, two thousand, twenty".