10010009181961 has 2 divisors, whose sum is σ = 10010009181962. Its totient is φ = 10010009181960.

The previous prime is 10010009181881. The next prime is 10010009181971. The reversal of 10010009181961 is 16918190001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6505789916025 + 3504219265936 = 2550645^2 + 1871956^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010009181961 - 2⁷ = 10010009181833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010009181961.

It is not a weakly prime, because it can be changed into another prime (10010009181971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005004590980 + 5005004590981.

It is an arithmetic number, because the mean of its divisors is an integer number (5005004590981).

Almost surely, 2^{10010009181961} is an apocalyptic number.

It is an amenable number.

10010009181961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010009181961 is an equidigital number, since it uses as much as digits as its factorization.

10010009181961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 37.

Adding to 10010009181961 its reverse (16918190001001), we get a palindrome (26928199182962).

The spelling of 10010009181961 in words is "ten trillion, ten billion, nine million, one hundred eighty-one thousand, nine hundred sixty-one".