10101122123 has 2 divisors, whose sum is σ = 10101122124. Its totient is φ = 10101122122.

The previous prime is 10101122111. The next prime is 10101122147. The reversal of 10101122123 is 32122110101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101122123 is a prime.

It is a super-3 number, since 3×10101122123³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101122098 and 10101122107.

It is not a weakly prime, because it can be changed into another prime (10101022123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050561061 + 5050561062.

It is an arithmetic number, because the mean of its divisors is an integer number (5050561062).

Almost surely, 2^10101122123 is an apocalyptic number.

10101122123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101122123 is an equidigital number, since it uses as much as digits as its factorization.

10101122123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10101122123 its reverse (32122110101), we get a palindrome (42223232224).

The spelling of 10101122123 in words is "ten billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-three".