102122016 has 24 divisors (see below), whose sum is σ = 268070544. Its totient is φ = 34040640.

The previous prime is 102122011. The next prime is 102122039. The reversal of 102122016 is 610221201.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 102121986 and 102122004.

It is not an unprimeable number, because it can be changed into a prime (102122011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 531790 + ... + 531981.

It is an arithmetic number, because the mean of its divisors is an integer number (11169606).

Almost surely, 2^102122016 is an apocalyptic number.

102122016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102122016 is an abundant number, since it is smaller than the sum of its proper divisors (165948528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122016 is a wasteful number, since it uses less digits than its factorization.

102122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063784 (or 1063776 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102122016 is about 10105.5438250497. The cubic root of 102122016 is about 467.4191054136.

Adding to 102122016 its reverse (610221201), we get a palindrome (712343217).

The spelling of 102122016 in words is "one hundred two million, one hundred twenty-two thousand, sixteen".