101112200100101 has 2 divisors, whose sum is σ = 101112200100102. Its totient is φ = 101112200100100.

The previous prime is 101112200100091. The next prime is 101112200100133. The reversal of 101112200100101 is 101001002211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101098017672001 + 14182428100 = 10054751^2 + 119090^2 .

It is an emirp because it is prime and its reverse (101001002211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112200100101 - 2³⁴ = 101095020230917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112200100601) 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, 50556100050050 + 50556100050051.

It is an arithmetic number, because the mean of its divisors is an integer number (50556100050051).

Almost surely, 2^{101112200100101} is an apocalyptic number.

It is an amenable number.

101112200100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112200100101 is an equidigital number, since it uses as much as digits as its factorization.

101112200100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101112200100101 its reverse (101001002211101), we get a palindrome (202113202311202).

The spelling of 101112200100101 in words is "one hundred one trillion, one hundred twelve billion, two hundred million, one hundred thousand, one hundred one".