101133203110109 has 2 divisors, whose sum is σ = 101133203110110. Its totient is φ = 101133203110108.

The previous prime is 101133203110103. The next prime is 101133203110141. The reversal of 101133203110109 is 901011302331101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101095041487609 + 38161622500 = 10054603^2 + 195350^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101133203110109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101133203110103) 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, 50566601555054 + 50566601555055.

It is an arithmetic number, because the mean of its divisors is an integer number (50566601555055).

Almost surely, 2^{101133203110109} is an apocalyptic number.

It is an amenable number.

101133203110109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101133203110109 is an equidigital number, since it uses as much as digits as its factorization.

101133203110109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 101133203110109 in words is "one hundred one trillion, one hundred thirty-three billion, two hundred three million, one hundred ten thousand, one hundred nine".