101123332121 has 8 divisors (see below), whose sum is σ = 115573411200. Its totient is φ = 86674225248.

The previous prime is 101123332097. The next prime is 101123332153. The reversal of 101123332121 is 121233321101.

It is a happy number.

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 101123332121 - 2²² = 101119137817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101123332093 and 101123332102.

It is not an unprimeable number, because it can be changed into a prime (101123332171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4556 + ... + 449741.

It is an arithmetic number, because the mean of its divisors is an integer number (14446676400).

Almost surely, 2^101123332121 is an apocalyptic number.

It is an amenable number.

101123332121 is a deficient number, since it is larger than the sum of its proper divisors (14450079079).

101123332121 is an equidigital number, since it uses as much as digits as its factorization.

101123332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486103.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101123332121 its reverse (121233321101), we get a palindrome (222356653222).

The spelling of 101123332121 in words is "one hundred one billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred twenty-one".