122122112100211 has 2 divisors, whose sum is σ = 122122112100212. Its totient is φ = 122122112100210.

The previous prime is 122122112100151. The next prime is 122122112100293. The reversal of 122122112100211 is 112001211221221.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122122112100211 - 2⁴¹ = 119923088844659 is a prime.

It is not a weakly prime, because it can be changed into another prime (122122112100511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061056050105 + 61061056050106.

It is an arithmetic number, because the mean of its divisors is an integer number (61061056050106).

Almost surely, 2^{122122112100211} is an apocalyptic number.

122122112100211 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122112100211 is an equidigital number, since it uses as much as digits as its factorization.

122122112100211 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 19.

Adding to 122122112100211 its reverse (112001211221221), we get a palindrome (234123323321432).

The spelling of 122122112100211 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred thousand, two hundred eleven".