102120016105116 has 48 divisors (see below), whose sum is σ = 264756217442080. Its totient is φ = 34039925637120.

The previous prime is 102120016105103. The next prime is 102120016105243. The reversal of 102120016105116 is 611501610021201.

102120016105116 is a `hidden beast` number, since 1 + 0 + 2 + 120 + 0 + 16 + 10 + 511 + 6 = 666.

It is a super-2 number, since 2×102120016105116² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102120016105116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61555386 + ... + 63192606.

Almost surely, 2^{102120016105116} is an apocalyptic number.

It is an amenable number.

102120016105116 is an abundant number, since it is smaller than the sum of its proper divisors (162636201336964).

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

102120016105116 is a wasteful number, since it uses less digits than its factorization.

102120016105116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214771 (or 2214763 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 102120016105116 its reverse (611501610021201), we get a palindrome (713621626126317).

The spelling of 102120016105116 in words is "one hundred two trillion, one hundred twenty billion, sixteen million, one hundred five thousand, one hundred sixteen".