200120210201120 has 144 divisors (see below), whose sum is σ = 533716847748504. Its totient is φ = 70804201881600.

The previous prime is 200120210201063. The next prime is 200120210201137. The reversal of 200120210201120 is 21102012021002.

It can be written as a sum of positive squares in 4 ways, for example, as 197725107298576 + 2395102902544 = 14061476^2 + 1547612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200120210201095 and 200120210201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138970001 + ... + 140402640.

Almost surely, 2^{200120210201120} is an apocalyptic number.

200120210201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200120210201120 is an abundant number, since it is smaller than the sum of its proper divisors (333596637547384).

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

200120210201120 is a wasteful number, since it uses less digits than its factorization.

200120210201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279372715 (or 279372696 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200120210201120 its reverse (21102012021002), we get a palindrome (221222222222122).

The spelling of 200120210201120 in words is "two hundred trillion, one hundred twenty billion, two hundred ten million, two hundred one thousand, one hundred twenty".