102100122003 has 24 divisors (see below), whose sum is σ = 149884814016. Its totient is φ = 61310930400.

The previous prime is 102100121947. The next prime is 102100122011. The reversal of 102100122003 is 300221001201.

It is not a de Polignac number, because 102100122003 - 2¹³ = 102100113811 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102100122003.

It is not an unprimeable number, because it can be changed into a prime (102100123003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261868 + ... + 522278.

It is an arithmetic number, because the mean of its divisors is an integer number (6245200584).

Almost surely, 2^102100122003 is an apocalyptic number.

102100122003 is a deficient number, since it is larger than the sum of its proper divisors (47784692013).

102100122003 is a wasteful number, since it uses less digits than its factorization.

102100122003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260643 (or 260534 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102100122003 its reverse (300221001201), we get a palindrome (402321123204).

The spelling of 102100122003 in words is "one hundred two billion, one hundred million, one hundred twenty-two thousand, three".