201122112101 has 2 divisors, whose sum is σ = 201122112102. Its totient is φ = 201122112100.

The previous prime is 201122112029. The next prime is 201122112127. The reversal of 201122112101 is 101211221102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153486867076 + 47635245025 = 391774^2 + 218255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201122112101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201122112131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561056050 + 100561056051.

It is an arithmetic number, because the mean of its divisors is an integer number (100561056051).

Almost surely, 2^201122112101 is an apocalyptic number.

It is an amenable number.

201122112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122112101 is an equidigital number, since it uses as much as digits as its factorization.

201122112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201122112101 its reverse (101211221102), we get a palindrome (302333333203).

The spelling of 201122112101 in words is "two hundred one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".