100010100001109 has 2 divisors, whose sum is σ = 100010100001110. Its totient is φ = 100010100001108.

The previous prime is 100010100001099. The next prime is 100010100001129. The reversal of 100010100001109 is 901100001010001.

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., 81658386469009 + 18351713532100 = 9036503^2 + 4283890^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010100001109 - 2¹⁶ = 100010099935573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010100001093 and 100010100001102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010100001129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050000554 + 50005050000555.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050000555).

Almost surely, 2^{100010100001109} is an apocalyptic number.

It is an amenable number.

100010100001109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100001109 is an equidigital number, since it uses as much as digits as its factorization.

100010100001109 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 100010100001109 in words is "one hundred trillion, ten billion, one hundred million, one thousand, one hundred nine".