100100011101149 has 2 divisors, whose sum is σ = 100100011101150. Its totient is φ = 100100011101148.

The previous prime is 100100011101143. The next prime is 100100011101151. The reversal of 100100011101149 is 941101110001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96346356721924 + 3753654379225 = 9815618^2 + 1937435^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100011101149 - 2⁴ = 100100011101133 is a prime.

Together with 100100011101151, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100011101149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100011101143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005550574 + 50050005550575.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005550575).

Almost surely, 2^{100100011101149} is an apocalyptic number.

It is an amenable number.

100100011101149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011101149 is an equidigital number, since it uses as much as digits as its factorization.

100100011101149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 100100011101149 in words is "one hundred trillion, one hundred billion, eleven million, one hundred one thousand, one hundred forty-nine".