102102100003 has 16 divisors (see below), whose sum is σ = 108007737120. Its totient is φ = 96250588416.

The previous prime is 102102099973. The next prime is 102102100013. The reversal of 102102100003 is 300001201201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102102100003 is a prime.

It is a super-2 number, since 2×102102100003² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102100013) 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 15 ways as a sum of consecutive naturals, for example, 4055751 + ... + 4080847.

It is an arithmetic number, because the mean of its divisors is an integer number (6750483570).

Almost surely, 2^102102100003 is an apocalyptic number.

102102100003 is a deficient number, since it is larger than the sum of its proper divisors (5905637117).

102102100003 is a wasteful number, since it uses less digits than its factorization.

102102100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26166.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102102100003 its reverse (300001201201), we get a palindrome (402103301204).

The spelling of 102102100003 in words is "one hundred two billion, one hundred two million, one hundred thousand, three".