10102549318641 has 32 divisors (see below), whose sum is σ = 16118222037120. Its totient is φ = 6216878354112.

The previous prime is 10102549318639. The next prime is 10102549318733. The reversal of 10102549318641 is 14681394520101.

10102549318641 is a `hidden beast` number, since 1 + 0 + 10 + 2 + 549 + 31 + 8 + 64 + 1 = 666.

10102549318641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10102549318641 - 2¹ = 10102549318639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102549318441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47676970 + ... + 47888396.

It is an arithmetic number, because the mean of its divisors is an integer number (503694438660).

Almost surely, 2^{10102549318641} is an apocalyptic number.

It is an amenable number.

10102549318641 is a deficient number, since it is larger than the sum of its proper divisors (6015672718479).

10102549318641 is a wasteful number, since it uses less digits than its factorization.

10102549318641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347582 (or 347576 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10102549318641 in words is "ten trillion, one hundred two billion, five hundred forty-nine million, three hundred eighteen thousand, six hundred forty-one".