10010200010200 has 384 divisors, whose sum is σ = 26587448294400. Its totient is φ = 3477132933120.

The previous prime is 10010200010197. The next prime is 10010200010243. The reversal of 10010200010200 is 201000201001.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1136614197 + ... + 1136623003.

It is an arithmetic number, because the mean of its divisors is an integer number (69238146600).

Almost surely, 2^{10010200010200} is an apocalyptic number.

10010200010200 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 10010200010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293724147200).

10010200010200 is an abundant number, since it is smaller than the sum of its proper divisors (16577248284200).

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

10010200010200 is a wasteful number, since it uses less digits than its factorization.

10010200010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10010200010200 its reverse (201000201001), we get a palindrome (10211200211201).

The spelling of 10010200010200 in words is "ten trillion, ten billion, two hundred million, ten thousand, two hundred".