101114123 has 8 divisors (see below), whose sum is σ = 111010800. Its totient is φ = 91334880.

The previous prime is 101114093. The next prime is 101114161. The reversal of 101114123 is 321411101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101114123 - 2⁶ = 101114059 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101114098 and 101114107.

It is not an unprimeable number, because it can be changed into a prime (101111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27548 + ... + 31001.

It is an arithmetic number, because the mean of its divisors is an integer number (13876350).

Almost surely, 2^101114123 is an apocalyptic number.

101114123 is a deficient number, since it is larger than the sum of its proper divisors (9896677).

101114123 is a wasteful number, since it uses less digits than its factorization.

101114123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58717.

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

The square root of 101114123 is about 10055.5518496003. The cubic root of 101114123 is about 465.8762880233.

Adding to 101114123 its reverse (321411101), we get a palindrome (422525224).

The spelling of 101114123 in words is "one hundred one million, one hundred fourteen thousand, one hundred twenty-three".