122112010201 has 2 divisors, whose sum is σ = 122112010202. Its totient is φ = 122112010200.

The previous prime is 122112010177. The next prime is 122112010253. The reversal of 122112010201 is 102010211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115480350976 + 6631659225 = 339824^2 + 81435^2 .

It is an emirp because it is prime and its reverse (102010211221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122112010201 - 2⁹ = 122112009689 is a prime.

It is a super-2 number, since 2×122112010201² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112011201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056005100 + 61056005101.

It is an arithmetic number, because the mean of its divisors is an integer number (61056005101).

Almost surely, 2^122112010201 is an apocalyptic number.

It is an amenable number.

122112010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112010201 is an equidigital number, since it uses as much as digits as its factorization.

122112010201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122112010201 its reverse (102010211221), we get a palindrome (224122221422).

It can be divided in two parts, 1221120 and 10201, that added together give a palindrome (1231321).

The spelling of 122112010201 in words is "one hundred twenty-two billion, one hundred twelve million, ten thousand, two hundred one".