101324545423101 has 192 divisors, whose sum is σ = 198288470016000. Its totient is φ = 48548884982400.

The previous prime is 101324545423099. The next prime is 101324545423139.

101324545423101 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 4 + 5 + 4 + 542 + 3 + 101 = 666.

101324545423101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101324545423101 - 2¹ = 101324545423099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101324545423001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1407268900 + ... + 1407340898.

It is an arithmetic number, because the mean of its divisors is an integer number (1032752448000).

Almost surely, 2^{101324545423101} is an apocalyptic number.

101324545423101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101324545423101 is a deficient number, since it is larger than the sum of its proper divisors (96963924592899).

101324545423101 is a wasteful number, since it uses less digits than its factorization.

101324545423101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73349 (or 73324 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 101324545423101 in words is "one hundred one trillion, three hundred twenty-four billion, five hundred forty-five million, four hundred twenty-three thousand, one hundred one".