101617226261 has 2 divisors, whose sum is σ = 101617226262. Its totient is φ = 101617226260.

The previous prime is 101617226239. The next prime is 101617226299. The reversal of 101617226261 is 162622716101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83900019025 + 17717207236 = 289655^2 + 133106^2 .

It is an emirp because it is prime and its reverse (162622716101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101617226261 - 2¹⁴ = 101617209877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101617526261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50808613130 + 50808613131.

It is an arithmetic number, because the mean of its divisors is an integer number (50808613131).

Almost surely, 2^101617226261 is an apocalyptic number.

It is an amenable number.

101617226261 is a deficient number, since it is larger than the sum of its proper divisors (1).

101617226261 is an equidigital number, since it uses as much as digits as its factorization.

101617226261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 101617226261 in words is "one hundred one billion, six hundred seventeen million, two hundred twenty-six thousand, two hundred sixty-one".