10020010120200 has 216 divisors, whose sum is σ = 33853410383130. Its totient is φ = 2655989376000.

The previous prime is 10020010120193. The next prime is 10020010120249. The reversal of 10020010120200 is 202101002001.

It can be written as a sum of positive squares in 3 ways, for example, as 6792288864804 + 3227721255396 = 2606202^2 + 1796586^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

10020010120200 is a modest number, since divided by 10120200 gives 100200 as remainder.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 50100400 + ... + 50300000.

Almost surely, 2^{10020010120200} is an apocalyptic number.

10020010120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020010120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926705191565).

10020010120200 is an abundant number, since it is smaller than the sum of its proper divisors (23833400262930).

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

10020010120200 is a wasteful number, since it uses less digits than its factorization.

10020010120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199957 (or 199778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020010120200 its reverse (202101002001), we get a palindrome (10222111122201).

The spelling of 10020010120200 in words is "ten trillion, twenty billion, ten million, one hundred twenty thousand, two hundred".