122013501253201 has 2 divisors, whose sum is σ = 122013501253202. Its totient is φ = 122013501253200.

The previous prime is 122013501253199. The next prime is 122013501253229. The reversal of 122013501253201 is 102352105310221.

It is an a-pointer prime, because the next prime (122013501253229) can be obtained adding 122013501253201 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121305001961025 + 708499292176 = 11013855^2 + 841724^2 .

It is a cyclic number.

It is not a de Polignac number, because 122013501253201 - 2¹ = 122013501253199 is a prime.

Together with 122013501253199, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 122013501253201.

It is not a weakly prime, because it can be changed into another prime (122013501253261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006750626600 + 61006750626601.

It is an arithmetic number, because the mean of its divisors is an integer number (61006750626601).

Almost surely, 2^{122013501253201} is an apocalyptic number.

It is an amenable number.

122013501253201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122013501253201 is an equidigital number, since it uses as much as digits as its factorization.

122013501253201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 122013501253201 its reverse (102352105310221), we get a palindrome (224365606563422).

The spelling of 122013501253201 in words is "one hundred twenty-two trillion, thirteen billion, five hundred one million, two hundred fifty-three thousand, two hundred one".