101123032181 has 2 divisors, whose sum is σ = 101123032182. Its totient is φ = 101123032180.

The previous prime is 101123032177. The next prime is 101123032187. The reversal of 101123032181 is 181230321101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100631700625 + 491331556 = 317225^2 + 22166^2 .

It is an emirp because it is prime and its reverse (181230321101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101123032181 - 2² = 101123032177 is a prime.

It is a super-2 number, since 2×101123032181² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101123032187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561516090 + 50561516091.

It is an arithmetic number, because the mean of its divisors is an integer number (50561516091).

Almost surely, 2^101123032181 is an apocalyptic number.

It is an amenable number.

101123032181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123032181 is an equidigital number, since it uses as much as digits as its factorization.

101123032181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 101123032181 its reverse (181230321101), we get a palindrome (282353353282).

The spelling of 101123032181 in words is "one hundred one billion, one hundred twenty-three million, thirty-two thousand, one hundred eighty-one".