10211202212200 has 48 divisors (see below), whose sum is σ = 25899321980160. Its totient is φ = 3713164440000.

The previous prime is 10211202212153. The next prime is 10211202212231. The reversal of 10211202212200 is 221220211201.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2320725576 + ... + 2320729975.

It is an arithmetic number, because the mean of its divisors is an integer number (539569207920).

Almost surely, 2^{10211202212200} is an apocalyptic number.

10211202212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211202212200 is an abundant number, since it is smaller than the sum of its proper divisors (15688119767960).

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

10211202212200 is a wasteful number, since it uses less digits than its factorization.

10211202212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641455578 (or 4641455569 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10211202212200 its reverse (221220211201), we get a palindrome (10432422423401).

The spelling of 10211202212200 in words is "ten trillion, two hundred eleven billion, two hundred two million, two hundred twelve thousand, two hundred".