102002116 has 12 divisors (see below), whose sum is σ = 178713388. Its totient is φ = 50941152.

The previous prime is 102002113. The next prime is 102002119. The reversal of 102002116 is 611200201.

It is an interprime number because it is at equal distance from previous prime (102002113) and next prime (102002119).

It can be written as a sum of positive squares in 2 ways, for example, as 83905600 + 18096516 = 9160^2 + 4254^2 .

It is a super-3 number, since 3×102002116³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102002096 and 102002105.

It is not an unprimeable number, because it can be changed into a prime (102002113) 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, 11031 + ... + 18046.

Almost surely, 2^102002116 is an apocalyptic number.

It is an amenable number.

102002116 is a deficient number, since it is larger than the sum of its proper divisors (76711272).

102002116 is a wasteful number, since it uses less digits than its factorization.

102002116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29958 (or 29956 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 102002116 is about 10099.6096954288. The cubic root of 102002116 is about 467.2361037438.

Adding to 102002116 its reverse (611200201), we get a palindrome (713202317).

The spelling of 102002116 in words is "one hundred two million, two thousand, one hundred sixteen".