102760101216 has 144 divisors (see below), whose sum is σ = 293519116800. Its totient is φ = 34101990144.

The previous prime is 102760101181. The next prime is 102760101233. The reversal of 102760101216 is 612101067201.

It is a happy number.

102760101216 is a `hidden beast` number, since 10 + 27 + 601 + 0 + 1 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 102760101216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100843555 + ... + 100844573.

It is an arithmetic number, because the mean of its divisors is an integer number (2038327200).

Almost surely, 2^102760101216 is an apocalyptic number.

102760101216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102760101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146759558400).

102760101216 is an abundant number, since it is smaller than the sum of its proper divisors (190759015584).

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

102760101216 is a wasteful number, since it uses less digits than its factorization.

102760101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 102760101216 its reverse (612101067201), we get a palindrome (714861168417).

The spelling of 102760101216 in words is "one hundred two billion, seven hundred sixty million, one hundred one thousand, two hundred sixteen".