12121111112101 has 2 divisors, whose sum is σ = 12121111112102. Its totient is φ = 12121111112100.

The previous prime is 12121111112023. The next prime is 12121111112107. The reversal of 12121111112101 is 10121111112121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11548476873025 + 572634239076 = 3398305^2 + 756726^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121111112101 - 2²⁷ = 12120976894373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121111112107) 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 as a sum of consecutive naturals, namely, 6060555556050 + 6060555556051.

It is an arithmetic number, because the mean of its divisors is an integer number (6060555556051).

Almost surely, 2^{12121111112101} is an apocalyptic number.

It is an amenable number.

12121111112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121111112101 is an equidigital number, since it uses as much as digits as its factorization.

12121111112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 12121111112101 its reverse (10121111112121), we get a palindrome (22242222224222).

The spelling of 12121111112101 in words is "twelve trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, one hundred one".