10100110111123 has 2 divisors, whose sum is σ = 10100110111124. Its totient is φ = 10100110111122.

The previous prime is 10100110111121. The next prime is 10100110111141. The reversal of 10100110111123 is 32111101100101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100110111123 - 2¹ = 10100110111121 is a prime.

It is a super-2 number, since 2×10100110111123² (a number of 27 digits) contains 22 as substring.

Together with 10100110111121, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10100110111121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055055561 + 5050055055562.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055055562).

Almost surely, 2^{10100110111123} is an apocalyptic number.

10100110111123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110111123 is an equidigital number, since it uses as much as digits as its factorization.

10100110111123 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10100110111123 its reverse (32111101100101), we get a palindrome (42211211211224).

The spelling of 10100110111123 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, one hundred twenty-three".