101010011101123 has 2 divisors, whose sum is σ = 101010011101124. Its totient is φ = 101010011101122.

The previous prime is 101010011101049. The next prime is 101010011101133. The reversal of 101010011101123 is 321101110010101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101010011101123 - 2¹⁷ = 101010010970051 is a prime.

It is a super-2 number, since 2×101010011101123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101010011101133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005550561 + 50505005550562.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005550562).

Almost surely, 2^{101010011101123} is an apocalyptic number.

101010011101123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010011101123 is an equidigital number, since it uses as much as digits as its factorization.

101010011101123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101010011101123 its reverse (321101110010101), we get a palindrome (422111121111224).

The spelling of 101010011101123 in words is "one hundred one trillion, ten billion, eleven million, one hundred one thousand, one hundred twenty-three".