1101000101009 has 2 divisors, whose sum is σ = 1101000101010. Its totient is φ = 1101000101008.

The previous prime is 1101000100997. The next prime is 1101000101017. The reversal of 1101000101009 is 9001010001011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1099083850384 + 1916250625 = 1048372^2 + 43775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1101000101009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101000100984 and 1101000101002.

It is not a weakly prime, because it can be changed into another prime (1101000109009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500050504 + 550500050505.

It is an arithmetic number, because the mean of its divisors is an integer number (550500050505).

Almost surely, 2^{1101000101009} is an apocalyptic number.

It is an amenable number.

1101000101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101000101009 is an equidigital number, since it uses as much as digits as its factorization.

1101000101009 is an evil number, because the sum of its binary digits is even.

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

The spelling of 1101000101009 in words is "one trillion, one hundred one billion, one hundred one thousand, nine".