100101100109 has 2 divisors, whose sum is σ = 100101100110. Its totient is φ = 100101100108.

The previous prime is 100101100103. The next prime is 100101100129. The reversal of 100101100109 is 901001101001.

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., 81797716009 + 18303384100 = 286003^2 + 135290^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101100109 - 2²⁸ = 99832664653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101100093 and 100101100102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550054 + 50050550055.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550055).

Almost surely, 2^100101100109 is an apocalyptic number.

It is an amenable number.

100101100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101100109 is an equidigital number, since it uses as much as digits as its factorization.

100101100109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 100101100109 in words is "one hundred billion, one hundred one million, one hundred thousand, one hundred nine".