101122310311201 has 8 divisors (see below), whose sum is σ = 101145374272800. Its totient is φ = 101099248975200.

The previous prime is 101122310311193. The next prime is 101122310311237. The reversal of 101122310311201 is 102113013221101.

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 101122310311201 - 2³ = 101122310311193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122310311601) 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, 77436126 + ... + 78731176.

It is an arithmetic number, because the mean of its divisors is an integer number (12643171784100).

Almost surely, 2^{101122310311201} is an apocalyptic number.

It is an amenable number.

101122310311201 is a deficient number, since it is larger than the sum of its proper divisors (23063961599).

101122310311201 is an equidigital number, since it uses as much as digits as its factorization.

101122310311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312799.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 101122310311201 its reverse (102113013221101), we get a palindrome (203235323532302).

The spelling of 101122310311201 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred ten million, three hundred eleven thousand, two hundred one".