102110103040032 has 72 divisors (see below), whose sum is σ = 290395348198956. Its totient is φ = 34034386853376.

The previous prime is 102110103040031. The next prime is 102110103040051. The reversal of 102110103040032 is 230040301011201.

102110103040032 is a `hidden beast` number, since 10 + 211 + 0 + 10 + 3 + 0 + 400 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99542045509776 + 2568057530256 = 9977076^2 + 1602516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×102110103040032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102110103039987 and 102110103040014.

It is not an unprimeable number, because it can be changed into a prime (102110103040031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7807063 + ... + 16284054.

Almost surely, 2^{102110103040032} is an apocalyptic number.

102110103040032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102110103040032 is an abundant number, since it is smaller than the sum of its proper divisors (188285245158924).

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

102110103040032 is a wasteful number, since it uses less digits than its factorization.

102110103040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24105850 (or 24105839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102110103040032 its reverse (230040301011201), we get a palindrome (332150404051233).

The spelling of 102110103040032 in words is "one hundred two trillion, one hundred ten billion, one hundred three million, forty thousand, thirty-two".