102101665032 has 96 divisors (see below), whose sum is σ = 292861160280. Its totient is φ = 32024279040.

The previous prime is 102101665019. The next prime is 102101665051. The reversal of 102101665032 is 230566101201.

102101665032 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 1 + 6 + 650 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81570787236 + 20530877796 = 285606^2 + 143286^2 .

It is a super-3 number, since 3×102101665032³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102101664987 and 102101665005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7401982 + ... + 7415762.

Almost surely, 2^102101665032 is an apocalyptic number.

102101665032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101665032 is an abundant number, since it is smaller than the sum of its proper divisors (190759495248).

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

102101665032 is a wasteful number, since it uses less digits than its factorization.

102101665032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19863 (or 19856 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 102101665032 its reverse (230566101201), we get a palindrome (332667766233).

The spelling of 102101665032 in words is "one hundred two billion, one hundred one million, six hundred sixty-five thousand, thirty-two".