10210120202200 has 192 divisors, whose sum is σ = 25023348403200. Its totient is φ = 3868924300800.

The previous prime is 10210120202179. The next prime is 10210120202201. The reversal of 10210120202200 is 220202101201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210120202201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 145534731 + ... + 145604869.

It is an arithmetic number, because the mean of its divisors is an integer number (130329939600).

Almost surely, 2^{10210120202200} is an apocalyptic number.

10210120202200 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 10210120202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511674201600).

10210120202200 is an abundant number, since it is smaller than the sum of its proper divisors (14813228201000).

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

10210120202200 is a wasteful number, since it uses less digits than its factorization.

10210120202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70682 (or 70673 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10210120202200 its reverse (220202101201), we get a palindrome (10430322303401).

The spelling of 10210120202200 in words is "ten trillion, two hundred ten billion, one hundred twenty million, two hundred two thousand, two hundred".