10101355261 has 2 divisors, whose sum is σ = 10101355262. Its totient is φ = 10101355260.

The previous prime is 10101355259. The next prime is 10101355267. The reversal of 10101355261 is 16255310101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9799812036 + 301543225 = 98994^2 + 17365^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101355261 - 2¹ = 10101355259 is a prime.

Together with 10101355259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101355267) 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, 5050677630 + 5050677631.

It is an arithmetic number, because the mean of its divisors is an integer number (5050677631).

Almost surely, 2^10101355261 is an apocalyptic number.

It is an amenable number.

10101355261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101355261 is an equidigital number, since it uses as much as digits as its factorization.

10101355261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10101355261 its reverse (16255310101), we get a palindrome (26356665362).

The spelling of 10101355261 in words is "ten billion, one hundred one million, three hundred fifty-five thousand, two hundred sixty-one".