101123121 has 8 divisors (see below), whose sum is σ = 147088224. Its totient is φ = 61286720.

The previous prime is 101123117. The next prime is 101123129. The reversal of 101123121 is 121321101.

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

It is not a de Polignac number, because 101123121 - 2² = 101123117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101123097 and 101123106.

It is not an unprimeable number, because it can be changed into a prime (101123129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1532136 + ... + 1532201.

It is an arithmetic number, because the mean of its divisors is an integer number (18386028).

Almost surely, 2^101123121 is an apocalyptic number.

101123121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101123121 is a deficient number, since it is larger than the sum of its proper divisors (45965103).

101123121 is a wasteful number, since it uses less digits than its factorization.

101123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064351.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101123121 is about 10055.9992541766. Note that the first 3 decimals coincide. The cubic root of 101123121 is about 465.8901068331.

Adding to 101123121 its reverse (121321101), we get a palindrome (222444222).

The spelling of 101123121 in words is "one hundred one million, one hundred twenty-three thousand, one hundred twenty-one".