101011011001123 has 2 divisors, whose sum is σ = 101011011001124. Its totient is φ = 101011011001122.

The previous prime is 101011011001097. The next prime is 101011011001157. The reversal of 101011011001123 is 321100110110101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101011011001123 - 2²¹ = 101011008903971 is a prime.

It is a super-2 number, since 2×101011011001123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101011011001183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505505500561 + 50505505500562.

It is an arithmetic number, because the mean of its divisors is an integer number (50505505500562).

Almost surely, 2^{101011011001123} is an apocalyptic number.

101011011001123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011011001123 is an equidigital number, since it uses as much as digits as its factorization.

101011011001123 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 101011011001123 its reverse (321100110110101), we get a palindrome (422111121111224).

It can be divided in two parts, 10101101 and 1001123, that added together give a square (11102224 = 3332²).

The spelling of 101011011001123 in words is "one hundred one trillion, eleven billion, eleven million, one thousand, one hundred twenty-three".