102642101 has 2 divisors, whose sum is σ = 102642102. Its totient is φ = 102642100.

The previous prime is 102642097. The next prime is 102642103. The reversal of 102642101 is 101246201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95746225 + 6895876 = 9785^2 + 2626^2 .

It is a cyclic number.

It is not a de Polignac number, because 102642101 - 2² = 102642097 is a prime.

Together with 102642103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102642101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102642103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51321050 + 51321051.

It is an arithmetic number, because the mean of its divisors is an integer number (51321051).

Almost surely, 2^102642101 is an apocalyptic number.

It is an amenable number.

102642101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102642101 is an equidigital number, since it uses as much as digits as its factorization.

102642101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 102642101 is about 10131.2438032060. The cubic root of 102642101 is about 468.2112498097.

Adding to 102642101 its reverse (101246201), we get a palindrome (203888302).

The spelling of 102642101 in words is "one hundred two million, six hundred forty-two thousand, one hundred one".