122121123101 has 2 divisors, whose sum is σ = 122121123102. Its totient is φ = 122121123100.

The previous prime is 122121123071. The next prime is 122121123107. The reversal of 122121123101 is 101321121221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67107420601 + 55013702500 = 259051^2 + 234550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122121123101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122121123101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121123107) 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 as a sum of consecutive naturals, namely, 61060561550 + 61060561551.

It is an arithmetic number, because the mean of its divisors is an integer number (61060561551).

Almost surely, 2^122121123101 is an apocalyptic number.

It is an amenable number.

122121123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121123101 is an equidigital number, since it uses as much as digits as its factorization.

122121123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122121123101 its reverse (101321121221), we get a palindrome (223442244322).

The spelling of 122121123101 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-three thousand, one hundred one".