101323003011127 has 2 divisors, whose sum is σ = 101323003011128. Its totient is φ = 101323003011126.

The previous prime is 101323003011101. The next prime is 101323003011137. The reversal of 101323003011127 is 721110300323101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101323003011127 - 2¹⁵ = 101323002978359 is a prime.

It is a super-2 number, since 2×101323003011127² (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 (101323003011137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661501505563 + 50661501505564.

It is an arithmetic number, because the mean of its divisors is an integer number (50661501505564).

Almost surely, 2^{101323003011127} is an apocalyptic number.

101323003011127 is a deficient number, since it is larger than the sum of its proper divisors (1).

101323003011127 is an equidigital number, since it uses as much as digits as its factorization.

101323003011127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 101323003011127 its reverse (721110300323101), we get a palindrome (822433303334228).

The spelling of 101323003011127 in words is "one hundred one trillion, three hundred twenty-three billion, three million, eleven thousand, one hundred twenty-seven".