10000200002120 has 64 divisors (see below), whose sum is σ = 23485089179520. Its totient is φ = 3825127240704.

The previous prime is 10000200002077. The next prime is 10000200002129. The reversal of 10000200002120 is 2120000200001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10000200002098 and 10000200002107.

It is not an unprimeable number, because it can be changed into a prime (10000200002129) 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 15 ways as a sum of consecutive naturals, for example, 1931159 + ... + 4871321.

It is an arithmetic number, because the mean of its divisors is an integer number (366954518430).

Almost surely, 2^{10000200002120} is an apocalyptic number.

10000200002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000200002120 is an abundant number, since it is smaller than the sum of its proper divisors (13484889177400).

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

10000200002120 is a wasteful number, since it uses less digits than its factorization.

10000200002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943894 (or 2943890 counting only the distinct ones).

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

Adding to 10000200002120 its reverse (2120000200001), we get a palindrome (12120200202121).

The spelling of 10000200002120 in words is "ten trillion, two hundred million, two thousand, one hundred twenty".