10212202310200 has 144 divisors (see below), whose sum is σ = 26151704465040. Its totient is φ = 3705898521600.

The previous prime is 10212202310197. The next prime is 10212202310281. The reversal of 10212202310200 is 201320221201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11352144 + ... + 12218656.

It is an arithmetic number, because the mean of its divisors is an integer number (181609058785).

Almost surely, 2^{10212202310200} is an apocalyptic number.

10212202310200 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 10212202310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075852232520).

10212202310200 is an abundant number, since it is smaller than the sum of its proper divisors (15939502154840).

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

10212202310200 is a wasteful number, since it uses less digits than its factorization.

10212202310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867038 (or 867018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10212202310200 its reverse (201320221201), we get a palindrome (10413522531401).

The spelling of 10212202310200 in words is "ten trillion, two hundred twelve billion, two hundred two million, three hundred ten thousand, two hundred".