101261120459 has 2 divisors, whose sum is σ = 101261120460. Its totient is φ = 101261120458.

The previous prime is 101261120447. The next prime is 101261120461. The reversal of 101261120459 is 954021162101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101261120459 - 2²⁴ = 101244343243 is a prime.

It is a super-2 number, since 2×101261120459² (a number of 23 digits) contains 22 as substring.

Together with 101261120461, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101261120479) 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, 50630560229 + 50630560230.

It is an arithmetic number, because the mean of its divisors is an integer number (50630560230).

Almost surely, 2^101261120459 is an apocalyptic number.

101261120459 is a deficient number, since it is larger than the sum of its proper divisors (1).

101261120459 is an equidigital number, since it uses as much as digits as its factorization.

101261120459 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 101261120459 in words is "one hundred one billion, two hundred sixty-one million, one hundred twenty thousand, four hundred fifty-nine".