101330222131201 has 8 divisors (see below), whose sum is σ = 115806049591680. Its totient is φ = 86854415031168.

The previous prime is 101330222131139. The next prime is 101330222131301. The reversal of 101330222131201 is 102131222033101.

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 101330222131201 - 2⁹ = 101330222130689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101330222131301) 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, 7725660 + ... + 16197106.

It is an arithmetic number, because the mean of its divisors is an integer number (14475756198960).

Almost surely, 2^{101330222131201} is an apocalyptic number.

It is an amenable number.

101330222131201 is a deficient number, since it is larger than the sum of its proper divisors (14475827460479).

101330222131201 is an equidigital number, since it uses as much as digits as its factorization.

101330222131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180223.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101330222131201 its reverse (102131222033101), we get a palindrome (203461444164302).

The spelling of 101330222131201 in words is "one hundred one trillion, three hundred thirty billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred one".