10200009961 has 2 divisors, whose sum is σ = 10200009962. Its totient is φ = 10200009960.

The previous prime is 10200009959. The next prime is 10200010001. The reversal of 10200009961 is 16990000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6581265625 + 3618744336 = 81125^2 + 60156^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200009961 - 2¹ = 10200009959 is a prime.

It is a super-3 number, since 3×10200009961³ (a number of 31 digits) contains 333 as substring.

Together with 10200009959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10200009161) 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 as a sum of consecutive naturals, namely, 5100004980 + 5100004981.

It is an arithmetic number, because the mean of its divisors is an integer number (5100004981).

Almost surely, 2^10200009961 is an apocalyptic number.

It is an amenable number.

10200009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200009961 is an equidigital number, since it uses as much as digits as its factorization.

10200009961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 10200009961 in words is "ten billion, two hundred million, nine thousand, nine hundred sixty-one".