10010101202261 has 2 divisors, whose sum is σ = 10010101202262. Its totient is φ = 10010101202260.

The previous prime is 10010101202209. The next prime is 10010101202317. The reversal of 10010101202261 is 16220210101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6086952480625 + 3923148721636 = 2467175^2 + 1980694^2 .

It is an emirp because it is prime and its reverse (16220210101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010101202261 - 2⁶ = 10010101202197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010101202201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050601130 + 5005050601131.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050601131).

Almost surely, 2^{10010101202261} is an apocalyptic number.

It is an amenable number.

10010101202261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010101202261 is an equidigital number, since it uses as much as digits as its factorization.

10010101202261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10010101202261 its reverse (16220210101001), we get a palindrome (26230311303262).

The spelling of 10010101202261 in words is "ten trillion, ten billion, one hundred one million, two hundred two thousand, two hundred sixty-one".