1011101009 has 2 divisors, whose sum is σ = 1011101010. Its totient is φ = 1011101008.

The previous prime is 1011100973. The next prime is 1011101023. The reversal of 1011101009 is 9001011101.

It is a happy number.

It is an a-pointer prime, because the next prime (1011101023) can be obtained adding 1011101009 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 646176400 + 364924609 = 25420^2 + 19103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011101009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011100984 and 1011101002.

It is not a weakly prime, because it can be changed into another prime (1011101029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550504 + 505550505.

It is an arithmetic number, because the mean of its divisors is an integer number (505550505).

Almost surely, 2^1011101009 is an apocalyptic number.

It is an amenable number.

1011101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101009 is an equidigital number, since it uses as much as digits as its factorization.

1011101009 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 square root of 1011101009 is about 31797.8145318196. The cubic root of 1011101009 is about 1003.6867276691.

The spelling of 1011101009 in words is "one billion, eleven million, one hundred one thousand, nine".