112202100101101 has 2 divisors, whose sum is σ = 112202100101102. Its totient is φ = 112202100101100.

The previous prime is 112202100101029. The next prime is 112202100101123. The reversal of 112202100101101 is 101101001202211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111720777738025 + 481322363076 = 10569805^2 + 693774^2 .

It is an emirp because it is prime and its reverse (101101001202211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112202100101101 - 2³⁹ = 111652344287213 is a prime.

It is a super-2 number, since 2×112202100101101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112202100101131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56101050050550 + 56101050050551.

It is an arithmetic number, because the mean of its divisors is an integer number (56101050050551).

Almost surely, 2^{112202100101101} is an apocalyptic number.

It is an amenable number.

112202100101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112202100101101 is an equidigital number, since it uses as much as digits as its factorization.

112202100101101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112202100101101 its reverse (101101001202211), we get a palindrome (213303101303312).

The spelling of 112202100101101 in words is "one hundred twelve trillion, two hundred two billion, one hundred million, one hundred one thousand, one hundred one".