10012200210 has 96 divisors (see below), whose sum is σ = 27085810752. Its totient is φ = 2661024960.

The previous prime is 10012200203. The next prime is 10012200217. The reversal of 10012200210 is 1200221001.

It is an interprime number because it is at equal distance from previous prime (10012200203) and next prime (10012200217).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10012200192 and 10012200201.

It is not an unprimeable number, because it can be changed into a prime (10012200217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739300 + ... + 752720.

It is an arithmetic number, because the mean of its divisors is an integer number (282143862).

Almost surely, 2^10012200210 is an apocalyptic number.

10012200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542905376).

10012200210 is an abundant number, since it is smaller than the sum of its proper divisors (17073610542).

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

10012200210 is a wasteful number, since it uses less digits than its factorization.

10012200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750 (or 13738 counting only the distinct ones).

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

Adding to 10012200210 its reverse (1200221001), we get a palindrome (11212421211).

The spelling of 10012200210 in words is "ten billion, twelve million, two hundred thousand, two hundred ten".