122121221012111 has 2 divisors, whose sum is σ = 122121221012112. Its totient is φ = 122121221012110.

The previous prime is 122121221012099. The next prime is 122121221012137. The reversal of 122121221012111 is 111210122121221.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122121221012111 is a prime.

It is a super-2 number, since 2×122121221012111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121221012311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060610506055 + 61060610506056.

It is an arithmetic number, because the mean of its divisors is an integer number (61060610506056).

Almost surely, 2^{122121221012111} is an apocalyptic number.

122121221012111 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121221012111 is an equidigital number, since it uses as much as digits as its factorization.

122121221012111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 122121221012111 its reverse (111210122121221), we get a palindrome (233331343133332).

The spelling of 122121221012111 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty-one million, twelve thousand, one hundred eleven".