102124544013 has 32 divisors (see below), whose sum is σ = 153794150400. Its totient is φ = 66965257008.

The previous prime is 102124544003. The next prime is 102124544059. The reversal of 102124544013 is 310445421201.

102124544013 is a `hidden beast` number, since 1 + 0 + 212 + 4 + 5 + 440 + 1 + 3 = 666.

It is not a de Polignac number, because 102124544013 - 2⁹ = 102124543501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102124544003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469956 + ... + 652002.

It is an arithmetic number, because the mean of its divisors is an integer number (4806067200).

Almost surely, 2^102124544013 is an apocalyptic number.

It is an amenable number.

102124544013 is a deficient number, since it is larger than the sum of its proper divisors (51669606387).

102124544013 is a wasteful number, since it uses less digits than its factorization.

102124544013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182398 (or 182392 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 102124544013 its reverse (310445421201), we get a palindrome (412569965214).

The spelling of 102124544013 in words is "one hundred two billion, one hundred twenty-four million, five hundred forty-four thousand, thirteen".