100101060561109 has 2 divisors, whose sum is σ = 100101060561110. Its totient is φ = 100101060561108.

The previous prime is 100101060561053. The next prime is 100101060561167. The reversal of 100101060561109 is 901165060101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84356473038084 + 15744587523025 = 9184578^2 + 3967945^2 .

It is an emirp because it is prime and its reverse (901165060101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101060561109 - 2¹⁵ = 100101060528341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101060561169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050530280554 + 50050530280555.

It is an arithmetic number, because the mean of its divisors is an integer number (50050530280555).

Almost surely, 2^{100101060561109} is an apocalyptic number.

It is an amenable number.

100101060561109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101060561109 is an equidigital number, since it uses as much as digits as its factorization.

100101060561109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 31.

The spelling of 100101060561109 in words is "one hundred trillion, one hundred one billion, sixty million, five hundred sixty-one thousand, one hundred nine".