112122012050101 has 2 divisors, whose sum is σ = 112122012050102. Its totient is φ = 112122012050100.

The previous prime is 112122012050099. The next prime is 112122012050123. The reversal of 112122012050101 is 101050210221211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64642002000625 + 47480010049476 = 8040025^2 + 6890574^2 .

It is a cyclic number.

It is not a de Polignac number, because 112122012050101 - 2¹ = 112122012050099 is a prime.

It is a super-2 number, since 2×112122012050101² (a number of 29 digits) contains 22 as substring.

Together with 112122012050099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112122012050131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56061006025050 + 56061006025051.

It is an arithmetic number, because the mean of its divisors is an integer number (56061006025051).

Almost surely, 2^{112122012050101} is an apocalyptic number.

It is an amenable number.

112122012050101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122012050101 is an equidigital number, since it uses as much as digits as its factorization.

112122012050101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 112122012050101 its reverse (101050210221211), we get a palindrome (213172222271312).

The spelling of 112122012050101 in words is "one hundred twelve trillion, one hundred twenty-two billion, twelve million, fifty thousand, one hundred one".