12211000101201 has 128 divisors (see below), whose sum is σ = 19196619079680. Its totient is φ = 6834470400000.

The previous prime is 12211000101187. The next prime is 12211000101347. The reversal of 12211000101201 is 10210100011221.

It is not a de Polignac number, because 12211000101201 - 2⁷ = 12211000101073 is a prime.

It is a super-4 number, since 4×12211000101201⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211000102201) 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, 351590805 + ... + 351625533.

It is an arithmetic number, because the mean of its divisors is an integer number (149973586560).

Almost surely, 2^{12211000101201} is an apocalyptic number.

12211000101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211000101201 is a deficient number, since it is larger than the sum of its proper divisors (6985618978479).

12211000101201 is a wasteful number, since it uses less digits than its factorization.

12211000101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34999.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211000101201 its reverse (10210100011221), we get a palindrome (22421100112422).

The spelling of 12211000101201 in words is "twelve trillion, two hundred eleven billion, one hundred one thousand, two hundred one".