102101 has 2 divisors, whose sum is σ = 102102. Its totient is φ = 102100.

The previous prime is 102079. The next prime is 102103. The reversal of 102101 is 101201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 39601 = 250^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101 - 2¹⁴ = 85717 is a prime.

It is a super-2 number, since 2×102101² = 20849228402, which contains 22 as substring.

Together with 102103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050 + 51051.

It is an arithmetic number, because the mean of its divisors is an integer number (51051).

2¹⁰²¹⁰¹ is an apocalyptic number.

It is an amenable number.

102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101 is an equidigital number, since it uses as much as digits as its factorization.

102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 102101 is about 319.5324709634. The cubic root of 102101 is about 46.7387039348.

Adding to 102101 its reverse (101201), we get a palindrome (203302).

Subtracting from 102101 its reverse (101201), we obtain a square (900 = 30²).

Multiplying 102101 by its reverse (101201), we get a palindrome (10332723301).

The spelling of 102101 in words is "one hundred two thousand, one hundred one", and thus it is an iban number.