112212211010101 has 2 divisors, whose sum is σ = 112212211010102. Its totient is φ = 112212211010100.

The previous prime is 112212211010059. The next prime is 112212211010177. The reversal of 112212211010101 is 101010112212211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59718490995076 + 52493720015025 = 7727774^2 + 7245255^2 .

It is an emirp because it is prime and its reverse (101010112212211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112212211010101 - 2²⁵ = 112212177455669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112212211010191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56106105505050 + 56106105505051.

It is an arithmetic number, because the mean of its divisors is an integer number (56106105505051).

Almost surely, 2^{112212211010101} is an apocalyptic number.

It is an amenable number.

112212211010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112212211010101 is an equidigital number, since it uses as much as digits as its factorization.

112212211010101 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 16.

Adding to 112212211010101 its reverse (101010112212211), we get a palindrome (213222323222312).

The spelling of 112212211010101 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred eleven million, ten thousand, one hundred one".