102100000044321 has 32 divisors (see below), whose sum is σ = 160473976012800. Its totient is φ = 63976460824080.

The previous prime is 102100000044311. The next prime is 102100000044323. The reversal of 102100000044321 is 123440000001201.

102100000044321 is a `hidden beast` number, since 10 + 210 + 0 + 0 + 0 + 0 + 0 + 443 + 2 + 1 = 666.

It is not a de Polignac number, because 102100000044321 - 2¹⁰ = 102100000043297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100000044294 and 102100000044303.

It is not an unprimeable number, because it can be changed into a prime (102100000044323) 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 31 ways as a sum of consecutive naturals, for example, 783499185 + ... + 783629486.

It is an arithmetic number, because the mean of its divisors is an integer number (5014811750400).

Almost surely, 2^{102100000044321} is an apocalyptic number.

It is an amenable number.

102100000044321 is a deficient number, since it is larger than the sum of its proper divisors (58373975968479).

102100000044321 is a wasteful number, since it uses less digits than its factorization.

102100000044321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567128826 (or 1567128820 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102100000044321 its reverse (123440000001201), we get a palindrome (225540000045522).

The spelling of 102100000044321 in words is "one hundred two trillion, one hundred billion, forty-four thousand, three hundred twenty-one".