102000101 has 16 divisors (see below), whose sum is σ = 122016000. Its totient is φ = 83369088.

The previous prime is 102000077. The next prime is 102000109. The reversal of 102000101 is 101000201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102000101 - 2¹⁰ = 101999077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65075 + ... + 66623.

It is an arithmetic number, because the mean of its divisors is an integer number (7626000).

Almost surely, 2^102000101 is an apocalyptic number.

It is an amenable number.

102000101 is a deficient number, since it is larger than the sum of its proper divisors (20015899).

102000101 is a wasteful number, since it uses less digits than its factorization.

102000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988.

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

The square root of 102000101 is about 10099.5099386059. The cubic root of 102000101 is about 467.2330270529.

Adding to 102000101 its reverse (101000201), we get a palindrome (203000302).

The spelling of 102000101 in words is "one hundred two million, one hundred one", and thus it is an aban number.