101324464423101 has 6 divisors (see below), whose sum is σ = 146357559722270. Its totient is φ = 67549642948728.

The previous prime is 101324464422953. The next prime is 101324464423103.

It is a happy number.

101324464423101 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 4 + 4 + 644 + 2 + 3 + 1 + 0 + 1 = 666.

101324464423101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 101253926375001 + 70538048100 = 10062501^2 + 265590^2 .

It is not a de Polignac number, because 101324464423101 - 2⁹ = 101324464422589 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 (101324464423103) 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 5 ways as a sum of consecutive naturals, for example, 5629136912386 + ... + 5629136912403.

Almost surely, 2^{101324464423101} is an apocalyptic number.

It is an amenable number.

101324464423101 is a deficient number, since it is larger than the sum of its proper divisors (45033095299169).

101324464423101 is a wasteful number, since it uses less digits than its factorization.

101324464423101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258273824795 (or 11258273824792 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 101324464423101 in words is "one hundred one trillion, three hundred twenty-four billion, four hundred sixty-four million, four hundred twenty-three thousand, one hundred one".