12212122012101 has 80 divisors (see below), whose sum is σ = 20018899517760. Its totient is φ = 7357553844480.

The previous prime is 12212122012093. The next prime is 12212122012169. The reversal of 12212122012101 is 10121022121221.

12212122012101 is a `hidden beast` number, since 1 + 221 + 212 + 20 + 1 + 210 + 1 = 666.

It is not a de Polignac number, because 12212122012101 - 2³ = 12212122012093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212122013101) 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 79 ways as a sum of consecutive naturals, for example, 576223161 + ... + 576244353.

It is an arithmetic number, because the mean of its divisors is an integer number (250236243972).

Almost surely, 2^{12212122012101} is an apocalyptic number.

12212122012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212122012101 is a deficient number, since it is larger than the sum of its proper divisors (7806777505659).

12212122012101 is a wasteful number, since it uses less digits than its factorization.

12212122012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25008 (or 24999 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212122012101 its reverse (10121022121221), we get a palindrome (22333144133322).

The spelling of 12212122012101 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-two million, twelve thousand, one hundred one".