102000022112003 has 2 divisors, whose sum is σ = 102000022112004. Its totient is φ = 102000022112002.

The previous prime is 102000022111991. The next prime is 102000022112033. The reversal of 102000022112003 is 300211220000201.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102000022112003 - 2⁴ = 102000022111987 is a prime.

It is not a weakly prime, because it can be changed into another prime (102000022112033) 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 as a sum of consecutive naturals, namely, 51000011056001 + 51000011056002.

It is an arithmetic number, because the mean of its divisors is an integer number (51000011056002).

Almost surely, 2^{102000022112003} is an apocalyptic number.

102000022112003 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000022112003 is an equidigital number, since it uses as much as digits as its factorization.

102000022112003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102000022112003 its reverse (300211220000201), we get a palindrome (402211242112204).

The spelling of 102000022112003 in words is "one hundred two trillion, twenty-two million, one hundred twelve thousand, three".