12100120211201 has 6 divisors (see below), whose sum is σ = 13300132133106. Its totient is φ = 11000109282800.

The previous prime is 12100120211189. The next prime is 12100120211209. The reversal of 12100120211201 is 10211202100121.

It can be written as a sum of positive squares in only one way, i.e., 11695038879601 + 405081331600 = 3419801^2 + 636460^2 .

It is not a de Polignac number, because 12100120211201 - 2³⁸ = 11825242304257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12100120211209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50000496620 + ... + 50000496861.

It is an arithmetic number, because the mean of its divisors is an integer number (2216688688851).

Almost surely, 2^{12100120211201} is an apocalyptic number.

12100120211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100120211201 is a deficient number, since it is larger than the sum of its proper divisors (1200011921905).

12100120211201 is a wasteful number, since it uses less digits than its factorization.

12100120211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100000993503 (or 100000993492 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12100120211201 its reverse (10211202100121), we get a palindrome (22311322311322).

It can be divided in two parts, 12100120 and 211201, that added together give a palindrome (12311321).

The spelling of 12100120211201 in words is "twelve trillion, one hundred billion, one hundred twenty million, two hundred eleven thousand, two hundred one".