101131223023121 has 2 divisors, whose sum is σ = 101131223023122. Its totient is φ = 101131223023120.

The previous prime is 101131223023073. The next prime is 101131223023139. The reversal of 101131223023121 is 121320322131101.

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., 90555302763025 + 10575920260096 = 9516055^2 + 3252064^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101131223023121 is a prime.

It is not a weakly prime, because it can be changed into another prime (101131223025121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565611511560 + 50565611511561.

It is an arithmetic number, because the mean of its divisors is an integer number (50565611511561).

Almost surely, 2^{101131223023121} is an apocalyptic number.

It is an amenable number.

101131223023121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131223023121 is an equidigital number, since it uses as much as digits as its factorization.

101131223023121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101131223023121 its reverse (121320322131101), we get a palindrome (222451545154222).

The spelling of 101131223023121 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred twenty-three million, twenty-three thousand, one hundred twenty-one".