10211200201200 has 120 divisors (see below), whose sum is σ = 32764487760000. Its totient is φ = 2718440641280.

The previous prime is 10211200201177. The next prime is 10211200201201. The reversal of 10211200201200 is 210200211201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211200201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6384150 + ... + 7821749.

It is an arithmetic number, because the mean of its divisors is an integer number (273037398000).

Almost surely, 2^{10211200201200} is an apocalyptic number.

10211200201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211200201200 is an abundant number, since it is smaller than the sum of its proper divisors (22553287558800).

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

10211200201200 is a wasteful number, since it uses less digits than its factorization.

10211200201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14206519 (or 14206508 counting only the distinct ones).

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

Adding to 10211200201200 its reverse (210200211201), we get a palindrome (10421400412401).

The spelling of 10211200201200 in words is "ten trillion, two hundred eleven billion, two hundred million, two hundred one thousand, two hundred".