101120342301 has 64 divisors (see below), whose sum is σ = 172788249600. Its totient is φ = 57803025600.

The previous prime is 101120342287. The next prime is 101120342341. The reversal of 101120342301 is 103243021101.

101120342301 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 20 + 342 + 301 = 666.

It is not a de Polignac number, because 101120342301 - 2⁹ = 101120341789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120342341) 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 63 ways as a sum of consecutive naturals, for example, 1241491 + ... + 1320431.

It is an arithmetic number, because the mean of its divisors is an integer number (2699816400).

Almost surely, 2^101120342301 is an apocalyptic number.

101120342301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101120342301 is a deficient number, since it is larger than the sum of its proper divisors (71667907299).

101120342301 is a wasteful number, since it uses less digits than its factorization.

101120342301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79207 (or 79201 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101120342301 its reverse (103243021101), we get a palindrome (204363363402).

The spelling of 101120342301 in words is "one hundred one billion, one hundred twenty million, three hundred forty-two thousand, three hundred one".