102132101 has 2 divisors, whose sum is σ = 102132102. Its totient is φ = 102132100.

The previous prime is 102132097. The next prime is 102132119. The reversal of 102132101 is 101231201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61999876 + 40132225 = 7874^2 + 6335^2 .

It is a cyclic number.

It is not a de Polignac number, because 102132101 - 2² = 102132097 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102132601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066050 + 51066051.

It is an arithmetic number, because the mean of its divisors is an integer number (51066051).

Almost surely, 2^102132101 is an apocalyptic number.

It is an amenable number.

102132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102132101 is an equidigital number, since it uses as much as digits as its factorization.

102132101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102132101 is about 10106.0427962680. The cubic root of 102132101 is about 467.4344914740.

Adding to 102132101 its reverse (101231201), we get a palindrome (203363302).

The spelling of 102132101 in words is "one hundred two million, one hundred thirty-two thousand, one hundred one".