102123137 has 2 divisors, whose sum is σ = 102123138. Its totient is φ = 102123136.

The previous prime is 102123107. The next prime is 102123143. The reversal of 102123137 is 731321201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96510976 + 5612161 = 9824^2 + 2369^2 .

It is a cyclic number.

It is not a de Polignac number, because 102123137 - 2²⁴ = 85345921 is a prime.

It is a super-2 number, since 2×102123137² = 20858270221441538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102123107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061568 + 51061569.

It is an arithmetic number, because the mean of its divisors is an integer number (51061569).

Almost surely, 2^102123137 is an apocalyptic number.

It is an amenable number.

102123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102123137 is an equidigital number, since it uses as much as digits as its factorization.

102123137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 102123137 is about 10105.5992895028. The cubic root of 102123137 is about 467.4208157040.

Adding to 102123137 its reverse (731321201), we get a palindrome (833444338).

The spelling of 102123137 in words is "one hundred two million, one hundred twenty-three thousand, one hundred thirty-seven".