101321023200101 has 4 divisors (see below), whose sum is σ = 101325319946604. Its totient is φ = 101316726453600.

The previous prime is 101321023199987. The next prime is 101321023200109. The reversal of 101321023200101 is 101002320123101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 75384920637601 + 25936102562500 = 8682449^2 + 5092750^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321023200101 - 2²² = 101321019005797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101321023200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321023200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2148337880 + ... + 2148385041.

It is an arithmetic number, because the mean of its divisors is an integer number (25331329986651).

Almost surely, 2^{101321023200101} is an apocalyptic number.

It is an amenable number.

101321023200101 is a deficient number, since it is larger than the sum of its proper divisors (4296746503).

101321023200101 is an equidigital number, since it uses as much as digits as its factorization.

101321023200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296746502.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101321023200101 its reverse (101002320123101), we get a palindrome (202323343323202).

The spelling of 101321023200101 in words is "one hundred one trillion, three hundred twenty-one billion, twenty-three million, two hundred thousand, one hundred one".