101322131101 has 4 divisors (see below), whose sum is σ = 101323158012. Its totient is φ = 101321104192.

The previous prime is 101322131089. The next prime is 101322131107. The reversal of 101322131101 is 101131223101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 101131223101 = 353 ⋅286490717.

It can be written as a sum of positive squares in 2 ways, for example, as 92273175225 + 9048955876 = 303765^2 + 95126^2 .

It is a cyclic number.

It is not a de Polignac number, because 101322131101 - 2¹⁵ = 101322098333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322131107) 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 3 ways as a sum of consecutive naturals, for example, 347596 + ... + 568741.

It is an arithmetic number, because the mean of its divisors is an integer number (25330789503).

Almost surely, 2^101322131101 is an apocalyptic number.

It is an amenable number.

101322131101 is a deficient number, since it is larger than the sum of its proper divisors (1026911).

101322131101 is an equidigital number, since it uses as much as digits as its factorization.

101322131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026910.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101322131101 its reverse (101131223101), we get a palindrome (202453354202).

The spelling of 101322131101 in words is "one hundred one billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred one".