102947242749201 has 16 divisors (see below), whose sum is σ = 152923319598720. Its totient is φ = 68447496512880.

The previous prime is 102947242749199. The next prime is 102947242749209.

It is a happy number.

102947242749201 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 4 + 7 + 2 + 427 + 4 + 9 + 201 = 666.

102947242749201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102947242749201 - 2¹ = 102947242749199 is a prime.

It is a super-2 number, since 2×102947242749201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102947242749209) 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 15 ways as a sum of consecutive naturals, for example, 5111063445 + ... + 5111083586.

It is an arithmetic number, because the mean of its divisors is an integer number (9557707474920).

Almost surely, 2^{102947242749201} is an apocalyptic number.

It is an amenable number.

102947242749201 is a deficient number, since it is larger than the sum of its proper divisors (49976076849519).

102947242749201 is a wasteful number, since it uses less digits than its factorization.

102947242749201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222147413 (or 10222147407 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 102947242749201 in words is "one hundred two trillion, nine hundred forty-seven billion, two hundred forty-two million, seven hundred forty-nine thousand, two hundred one".