101011000001123 has 2 divisors, whose sum is σ = 101011000001124. Its totient is φ = 101011000001122.

The previous prime is 101011000001081. The next prime is 101011000001207. The reversal of 101011000001123 is 321100000110101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101011000001123 - 2³⁰ = 101009926259299 is a prime.

It is a super-2 number, since 2×101011000001123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101011000001323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500000561 + 50505500000562.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500000562).

Almost surely, 2^{101011000001123} is an apocalyptic number.

101011000001123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011000001123 is an equidigital number, since it uses as much as digits as its factorization.

101011000001123 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 11.

Adding to 101011000001123 its reverse (321100000110101), we get a palindrome (422111000111224).

The spelling of 101011000001123 in words is "one hundred one trillion, eleven billion, one thousand, one hundred twenty-three".