102016101 has 8 divisors (see below), whose sum is σ = 148387104. Its totient is φ = 61827920.

The previous prime is 102016087. The next prime is 102016121. The reversal of 102016101 is 101610201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102016101 - 2⁵ = 102016069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102016121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1545666 + ... + 1545731.

It is an arithmetic number, because the mean of its divisors is an integer number (18548388).

Almost surely, 2^102016101 is an apocalyptic number.

102016101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102016101 is a deficient number, since it is larger than the sum of its proper divisors (46371003).

102016101 is a wasteful number, since it uses less digits than its factorization.

102016101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091411.

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

The square root of 102016101 is about 10100.3020251872. The cubic root of 102016101 is about 467.2574562364.

Adding to 102016101 its reverse (101610201), we get a palindrome (203626302).

The spelling of 102016101 in words is "one hundred two million, sixteen thousand, one hundred one".