10216602110052 has 144 divisors (see below), whose sum is σ = 28286449551360. Its totient is φ = 3089939328000.

The previous prime is 10216602110017. The next prime is 10216602110069. The reversal of 10216602110052 is 25001120661201.

10216602110052 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 602 + 1 + 1 + 0 + 0 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10216602109998 and 10216602110025.

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 47 ways as a sum of consecutive naturals, for example, 349857052 + ... + 349886252.

It is an arithmetic number, because the mean of its divisors is an integer number (196433677440).

Almost surely, 2^{10216602110052} is an apocalyptic number.

10216602110052 is a gapful number since it is divisible by the number (12) 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 10216602110052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14143224775680).

10216602110052 is an abundant number, since it is smaller than the sum of its proper divisors (18069847441308).

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

10216602110052 is a wasteful number, since it uses less digits than its factorization.

10216602110052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41954 (or 41949 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10216602110052 its reverse (25001120661201), we get a palindrome (35217722771253).

The spelling of 10216602110052 in words is "ten trillion, two hundred sixteen billion, six hundred two million, one hundred ten thousand, fifty-two".