102161716101 has 32 divisors (see below), whose sum is σ = 152330169600. Its totient is φ = 67667443200.

The previous prime is 102161716073. The next prime is 102161716103. The reversal of 102161716101 is 101617161201.

102161716101 is a `hidden beast` number, since 1 + 0 + 21 + 617 + 16 + 10 + 1 = 666.

It is not a de Polignac number, because 102161716101 - 2⁷ = 102161715973 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102161716103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12625665 + ... + 12633753.

It is an arithmetic number, because the mean of its divisors is an integer number (4760317800).

Almost surely, 2^102161716101 is an apocalyptic number.

It is an amenable number.

102161716101 is a deficient number, since it is larger than the sum of its proper divisors (50168453499).

102161716101 is a wasteful number, since it uses less digits than its factorization.

102161716101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066 (or 11060 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

Adding to 102161716101 its reverse (101617161201), we get a palindrome (203778877302).

The spelling of 102161716101 in words is "one hundred two billion, one hundred sixty-one million, seven hundred sixteen thousand, one hundred one".