10101101101123 has 2 divisors, whose sum is σ = 10101101101124. Its totient is φ = 10101101101122.

The previous prime is 10101101101111. The next prime is 10101101101127. The reversal of 10101101101123 is 32110110110101.

It is a strong prime.

It is an emirp because it is prime and its reverse (32110110110101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101101101123 is a prime.

It is a super-3 number, since 3×10101101101123³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10101101101127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550550561 + 5050550550562.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550550562).

Almost surely, 2^{10101101101123} is an apocalyptic number.

10101101101123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101101123 is an equidigital number, since it uses as much as digits as its factorization.

10101101101123 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 10101101101123 its reverse (32110110110101), we get a palindrome (42211211211224).

The spelling of 10101101101123 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred twenty-three".