101332012301 has 16 divisors (see below), whose sum is σ = 110154567600. Its totient is φ = 92656700928.

The previous prime is 101332012291. The next prime is 101332012373. The reversal of 101332012301 is 103210233101.

It can be written as a sum of positive squares in 8 ways, for example, as 1016653225 + 100315359076 = 31885^2 + 316726^2 .

It is a cyclic number.

It is not a de Polignac number, because 101332012301 - 2⁶ = 101332012237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101332012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332012501) 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 15 ways as a sum of consecutive naturals, for example, 9711155 + ... + 9721583.

It is an arithmetic number, because the mean of its divisors is an integer number (6884660475).

Almost surely, 2^101332012301 is an apocalyptic number.

It is an amenable number.

101332012301 is a deficient number, since it is larger than the sum of its proper divisors (8822555299).

101332012301 is a wasteful number, since it uses less digits than its factorization.

101332012301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101332012301 its reverse (103210233101), we get a palindrome (204542245402).

The spelling of 101332012301 in words is "one hundred one billion, three hundred thirty-two million, twelve thousand, three hundred one".