9952856101 has 2 divisors, whose sum is σ = 9952856102. Its totient is φ = 9952856100.

The previous prime is 9952856093. The next prime is 9952856141. The reversal of 9952856101 is 1016582599.

9952856101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5817723076 + 4135133025 = 76274^2 + 64305^2 .

It is a cyclic number.

It is not a de Polignac number, because 9952856101 - 2³ = 9952856093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9952856141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4976428050 + 4976428051.

It is an arithmetic number, because the mean of its divisors is an integer number (4976428051).

Almost surely, 2^9952856101 is an apocalyptic number.

It is an amenable number.

9952856101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9952856101 is an equidigital number, since it uses as much as digits as its factorization.

9952856101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 46.

The square root of 9952856101 is about 99764.0020297903. The cubic root of 9952856101 is about 2151.0437406359.

The spelling of 9952856101 in words is "nine billion, nine hundred fifty-two million, eight hundred fifty-six thousand, one hundred one".