101321213301 has 48 divisors (see below), whose sum is σ = 182684436480. Its totient is φ = 52571360160.

The previous prime is 101321213299. The next prime is 101321213321. The reversal of 101321213301 is 103312123101.

101321213301 is a `hidden beast` number, since 10 + 1 + 321 + 2 + 1 + 330 + 1 = 666.

It is not a de Polignac number, because 101321213301 - 2¹ = 101321213299 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321213321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494296 + ... + 668558.

It is an arithmetic number, because the mean of its divisors is an integer number (3805925760).

Almost surely, 2^101321213301 is an apocalyptic number.

101321213301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101321213301 is a deficient number, since it is larger than the sum of its proper divisors (81363223179).

101321213301 is a wasteful number, since it uses less digits than its factorization.

101321213301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175126 (or 175123 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101321213301 its reverse (103312123101), we get a palindrome (204633336402).

The spelling of 101321213301 in words is "one hundred one billion, three hundred twenty-one million, two hundred thirteen thousand, three hundred one".