112102122210101 has 2 divisors, whose sum is σ = 112102122210102. Its totient is φ = 112102122210100.

The previous prime is 112102122210053. The next prime is 112102122210137. The reversal of 112102122210101 is 101012221201211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112093356382225 + 8765827876 = 10587415^2 + 93626^2 .

It is an emirp because it is prime and its reverse (101012221201211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112102122210101 - 2¹⁸ = 112102121947957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112102122210101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112102122210151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56051061105050 + 56051061105051.

It is an arithmetic number, because the mean of its divisors is an integer number (56051061105051).

Almost surely, 2^{112102122210101} is an apocalyptic number.

It is an amenable number.

112102122210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112102122210101 is an equidigital number, since it uses as much as digits as its factorization.

112102122210101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 112102122210101 its reverse (101012221201211), we get a palindrome (213114343411312).

The spelling of 112102122210101 in words is "one hundred twelve trillion, one hundred two billion, one hundred twenty-two million, two hundred ten thousand, one hundred one".