101122112121323 has 8 divisors (see below), whose sum is σ = 101850345149280. Its totient is φ = 100395339943680.

The previous prime is 101122112121263. The next prime is 101122112121337. The reversal of 101122112121323 is 323121211221101.

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 101122112121323 - 2¹⁶ = 101122112055787 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122112121623) 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, 365073638 + ... + 365350523.

It is an arithmetic number, because the mean of its divisors is an integer number (12731293143660).

Almost surely, 2^{101122112121323} is an apocalyptic number.

101122112121323 is a deficient number, since it is larger than the sum of its proper divisors (728233027957).

101122112121323 is an equidigital number, since it uses as much as digits as its factorization.

101122112121323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730425157.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 101122112121323 its reverse (323121211221101), we get a palindrome (424243323342424).

The spelling of 101122112121323 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, three hundred twenty-three".