1000102112123 has 2 divisors, whose sum is σ = 1000102112124. Its totient is φ = 1000102112122.

The previous prime is 1000102112117. The next prime is 1000102112131. The reversal of 1000102112123 is 3212112010001.

It is a weak prime.

It is an emirp because it is prime and its reverse (3212112010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000102112123 - 2⁶ = 1000102112059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000102112098 and 1000102112107.

It is not a weakly prime, because it can be changed into another prime (1000102117123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051056061 + 500051056062.

It is an arithmetic number, because the mean of its divisors is an integer number (500051056062).

Almost surely, 2^{1000102112123} is an apocalyptic number.

1000102112123 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102112123 is an equidigital number, since it uses as much as digits as its factorization.

1000102112123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1000102112123 its reverse (3212112010001), we get a palindrome (4212214122124).

The spelling of 1000102112123 in words is "one trillion, one hundred two million, one hundred twelve thousand, one hundred twenty-three".