122100232112101 has 2 divisors, whose sum is σ = 122100232112102. Its totient is φ = 122100232112100.

The previous prime is 122100232111999. The next prime is 122100232112113. The reversal of 122100232112101 is 101211232001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120157748799201 + 1942483312900 = 10961649^2 + 1393730^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100232112101 - 2³⁹ = 121550476298213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100232116101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050116056050 + 61050116056051.

It is an arithmetic number, because the mean of its divisors is an integer number (61050116056051).

Almost surely, 2^{122100232112101} is an apocalyptic number.

It is an amenable number.

122100232112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100232112101 is an equidigital number, since it uses as much as digits as its factorization.

122100232112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 122100232112101 its reverse (101211232001221), we get a palindrome (223311464113322).

The spelling of 122100232112101 in words is "one hundred twenty-two trillion, one hundred billion, two hundred thirty-two million, one hundred twelve thousand, one hundred one".