101034455325109 has 2 divisors, whose sum is σ = 101034455325110. Its totient is φ = 101034455325108.

The previous prime is 101034455324993. The next prime is 101034455325187. The reversal of 101034455325109 is 901523554430101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87502872364209 + 13531582960900 = 9354297^2 + 3678530^2 .

It is a cyclic number.

It is not a de Polignac number, because 101034455325109 - 2¹³ = 101034455316917 is a prime.

It is a super-2 number, since 2×101034455325109² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101034455025109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50517227662554 + 50517227662555.

It is an arithmetic number, because the mean of its divisors is an integer number (50517227662555).

Almost surely, 2^{101034455325109} is an apocalyptic number.

It is an amenable number.

101034455325109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101034455325109 is an equidigital number, since it uses as much as digits as its factorization.

101034455325109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 43.

The spelling of 101034455325109 in words is "one hundred one trillion, thirty-four billion, four hundred fifty-five million, three hundred twenty-five thousand, one hundred nine".