103312201332101 has 12 divisors (see below), whose sum is σ = 109805843871780. Its totient is φ = 97182763714560.

The previous prime is 103312201332083. The next prime is 103312201332113. The reversal of 103312201332101 is 101233102213301.

It can be written as a sum of positive squares in 6 ways, for example, as 16539268922500 + 86772932409601 = 4066850^2 + 9315199^2 .

It is not a de Polignac number, because 103312201332101 - 2²⁶ = 103312134223237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312201332401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95507756 + ... + 96583413.

It is an arithmetic number, because the mean of its divisors is an integer number (9150486989315).

Almost surely, 2^{103312201332101} is an apocalyptic number.

It is an amenable number.

103312201332101 is a deficient number, since it is larger than the sum of its proper divisors (6493642539679).

103312201332101 is a wasteful number, since it uses less digits than its factorization.

103312201332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192093064 (or 192093047 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 103312201332101 its reverse (101233102213301), we get a palindrome (204545303545402).

The spelling of 103312201332101 in words is "one hundred three trillion, three hundred twelve billion, two hundred one million, three hundred thirty-two thousand, one hundred one".