10001212200210 has 256 divisors, whose sum is σ = 30559298457600. Its totient is φ = 2034467020800.

The previous prime is 10001212200137. The next prime is 10001212200211. The reversal of 10001212200210 is 1200221210001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001212200211) 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 127 ways as a sum of consecutive naturals, for example, 32693646 + ... + 32998134.

It is an arithmetic number, because the mean of its divisors is an integer number (119372259600).

Almost surely, 2^{10001212200210} is an apocalyptic number.

10001212200210 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 10001212200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279649228800).

10001212200210 is an abundant number, since it is smaller than the sum of its proper divisors (20558086257390).

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

10001212200210 is a wasteful number, since it uses less digits than its factorization.

10001212200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304817.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001212200210 its reverse (1200221210001), we get a palindrome (11201433410211).

The spelling of 10001212200210 in words is "ten trillion, one billion, two hundred twelve million, two hundred thousand, two hundred ten".