1020121200200 has 24 divisors (see below), whose sum is σ = 2371781790930. Its totient is φ = 408048480000.

The previous prime is 1020121200181. The next prime is 1020121200209. The reversal of 1020121200200 is 20021210201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 678511343524 + 341609856676 = 823718^2 + 584474^2 .

It is not an unprimeable number, because it can be changed into a prime (1020121200209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2550302801 + ... + 2550303200.

Almost surely, 2^{1020121200200} is an apocalyptic number.

1020121200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020121200200 is an abundant number, since it is smaller than the sum of its proper divisors (1351660590730).

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

1020121200200 is a wasteful number, since it uses less digits than its factorization.

1020121200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100606017 (or 5100606008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020121200200 its reverse (20021210201), we get a palindrome (1040142410401).

The spelling of 1020121200200 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred thousand, two hundred".