10541351066202 has 192 divisors, whose sum is σ = 26737641216000. Its totient is φ = 2969398776960.

The previous prime is 10541351066161. The next prime is 10541351066209. The reversal of 10541351066202 is 20266015314501.

10541351066202 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 13 + 5 + 10 + 6 + 620 + 2 = 666.

It is a super-2 number, since 2×10541351066202² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10541351066209) 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 95 ways as a sum of consecutive naturals, for example, 38833324 + ... + 39103832.

It is an arithmetic number, because the mean of its divisors is an integer number (139258548000).

Almost surely, 2^{10541351066202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10541351066202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13368820608000).

10541351066202 is an abundant number, since it is smaller than the sum of its proper divisors (16196290149798).

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

10541351066202 is a wasteful number, since it uses less digits than its factorization.

10541351066202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270793 (or 270790 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10541351066202 in words is "ten trillion, five hundred forty-one billion, three hundred fifty-one million, sixty-six thousand, two hundred two".