120200202221121 has 72 divisors (see below), whose sum is σ = 204733937466240. Its totient is φ = 70336585962720.

The previous prime is 120200202221081. The next prime is 120200202221153. The reversal of 120200202221121 is 121122202002021.

It is a happy number.

120200202221121 is a `hidden beast` number, since 1 + 20 + 200 + 202 + 221 + 1 + 21 = 666.

It is not a de Polignac number, because 120200202221121 - 2⁷ = 120200202220993 is a prime.

It is a super-3 number, since 3×120200202221121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 120200202221094 and 120200202221103.

It is not an unprimeable number, because it can be changed into a prime (120200202221171) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 69630505 + ... + 71335878.

Almost surely, 2^{120200202221121} is an apocalyptic number.

120200202221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120200202221121 is a deficient number, since it is larger than the sum of its proper divisors (84533735245119).

120200202221121 is a wasteful number, since it uses less digits than its factorization.

120200202221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140966449 (or 140966426 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120200202221121 its reverse (121122202002021), we get a palindrome (241322404223142).

The spelling of 120200202221121 in words is "one hundred twenty trillion, two hundred billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty-one".