10002210202212 has 192 divisors, whose sum is σ = 24824052234240. Its totient is φ = 3127899608064.

The previous prime is 10002210202211. The next prime is 10002210202267. The reversal of 10002210202212 is 21220201220001.

It is a junction number, because it is equal to n+sod(n) for n = 10002210202191 and 10002210202200.

It is not an unprimeable number, because it can be changed into a prime (10002210202211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5725362723 + ... + 5725364469.

It is an arithmetic number, because the mean of its divisors is an integer number (129291938720).

Almost surely, 2^{10002210202212} is an apocalyptic number.

10002210202212 is a gapful number since it is divisible by the number (12) 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 10002210202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412026117120).

10002210202212 is an abundant number, since it is smaller than the sum of its proper divisors (14821842032028).

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

10002210202212 is a wasteful number, since it uses less digits than its factorization.

10002210202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10002210202212 its reverse (21220201220001), we get a palindrome (31222411422213).

The spelling of 10002210202212 in words is "ten trillion, two billion, two hundred ten million, two hundred two thousand, two hundred twelve".