122220012012101 has 2 divisors, whose sum is σ = 122220012012102. Its totient is φ = 122220012012100.

The previous prime is 122220012012031. The next prime is 122220012012127. The reversal of 122220012012101 is 101210210022221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94733741731876 + 27486270280225 = 9733126^2 + 5242735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122220012012101 is a prime.

It is a super-2 number, since 2×122220012012101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122220012012101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122220012012001) 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, 61110006006050 + 61110006006051.

It is an arithmetic number, because the mean of its divisors is an integer number (61110006006051).

Almost surely, 2^{122220012012101} is an apocalyptic number.

It is an amenable number.

122220012012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122220012012101 is an equidigital number, since it uses as much as digits as its factorization.

122220012012101 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 17.

Adding to 122220012012101 its reverse (101210210022221), we get a palindrome (223430222034322).

The spelling of 122220012012101 in words is "one hundred twenty-two trillion, two hundred twenty billion, twelve million, twelve thousand, one hundred one".