10010010505961 has 2 divisors, whose sum is σ = 10010010505962. Its totient is φ = 10010010505960.

The previous prime is 10010010505931. The next prime is 10010010506063. The reversal of 10010010505961 is 16950501001001.

10010010505961 is digitally balanced in base 2, 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., 6040014030736 + 3969996475225 = 2457644^2 + 1992485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010010505961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010010505931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005252980 + 5005005252981.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005252981).

Almost surely, 2^{10010010505961} is an apocalyptic number.

It is an amenable number.

10010010505961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010010505961 is an equidigital number, since it uses as much as digits as its factorization.

10010010505961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 29.

Adding to 10010010505961 its reverse (16950501001001), we get a palindrome (26960511506962).

The spelling of 10010010505961 in words is "ten trillion, ten billion, ten million, five hundred five thousand, nine hundred sixty-one".