122101210121201 has 2 divisors, whose sum is σ = 122101210121202. Its totient is φ = 122101210121200.

The previous prime is 122101210121173. The next prime is 122101210121207. The reversal of 122101210121201 is 102121012101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120779572480576 + 1321637640625 = 10989976^2 + 1149625^2 .

It is an emirp because it is prime and its reverse (102121012101221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122101210121201 - 2¹⁴ = 122101210104817 is a prime.

It is a super-2 number, since 2×122101210121201² (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 122101210121201.

It is not a weakly prime, because it can be changed into another prime (122101210121207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050605060600 + 61050605060601.

It is an arithmetic number, because the mean of its divisors is an integer number (61050605060601).

Almost surely, 2^{122101210121201} is an apocalyptic number.

It is an amenable number.

122101210121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101210121201 is an equidigital number, since it uses as much as digits as its factorization.

122101210121201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122101210121201 its reverse (102121012101221), we get a palindrome (224222222222422).

The spelling of 122101210121201 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred ten million, one hundred twenty-one thousand, two hundred one".