10102132123 has 2 divisors, whose sum is σ = 10102132124. Its totient is φ = 10102132122.

The previous prime is 10102132111. The next prime is 10102132141. The reversal of 10102132123 is 32123120101.

10102132123 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (32123120101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102132123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102132097 and 10102132106.

It is not a weakly prime, because it can be changed into another prime (10102132723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051066061 + 5051066062.

It is an arithmetic number, because the mean of its divisors is an integer number (5051066062).

Almost surely, 2^10102132123 is an apocalyptic number.

10102132123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102132123 is an equidigital number, since it uses as much as digits as its factorization.

10102132123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10102132123 its reverse (32123120101), we get a palindrome (42225252224).

The spelling of 10102132123 in words is "ten billion, one hundred two million, one hundred thirty-two thousand, one hundred twenty-three".