12121110202201 has 48 divisors (see below), whose sum is σ = 16560145131264. Its totient is φ = 8632158480000.

The previous prime is 12121110202183. The next prime is 12121110202237. The reversal of 12121110202201 is 10220201112121.

It is not a de Polignac number, because 12121110202201 - 2⁹ = 12121110201689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12121210202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4337485 + ... + 6561706.

It is an arithmetic number, because the mean of its divisors is an integer number (345003023568).

Almost surely, 2^{12121110202201} is an apocalyptic number.

12121110202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121110202201 is a deficient number, since it is larger than the sum of its proper divisors (4439034929063).

12121110202201 is a wasteful number, since it uses less digits than its factorization.

12121110202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10899334 (or 10899323 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12121110202201 its reverse (10220201112121), we get a palindrome (22341311314322).

The spelling of 12121110202201 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, two hundred two thousand, two hundred one".