102135123 has 12 divisors (see below), whose sum is σ = 147718480. Its totient is φ = 68002416.

The previous prime is 102135119. The next prime is 102135193. The reversal of 102135123 is 321531201.

It is not a de Polignac number, because 102135123 - 2² = 102135119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102135096 and 102135105.

It is not an unprimeable number, because it can be changed into a prime (102135113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513 + ... + 14301.

Almost surely, 2^102135123 is an apocalyptic number.

102135123 is a deficient number, since it is larger than the sum of its proper divisors (45583357).

102135123 is a wasteful number, since it uses less digits than its factorization.

102135123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14618 (or 14615 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102135123 is about 10106.1923096684. The cubic root of 102135123 is about 467.4391017551.

Adding to 102135123 its reverse (321531201), we get a palindrome (423666324).

The spelling of 102135123 in words is "one hundred two million, one hundred thirty-five thousand, one hundred twenty-three".