1101010101009 has 128 divisors (see below), whose sum is σ = 1891373890560. Its totient is φ = 554273280000.

The previous prime is 1101010100989. The next prime is 1101010101011. The reversal of 1101010101009 is 9001010101011.

It is not a de Polignac number, because 1101010101009 - 2¹⁷ = 1101009969937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101010101049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111196959 + ... + 111206859.

It is an arithmetic number, because the mean of its divisors is an integer number (14776358520).

Almost surely, 2^{1101010101009} is an apocalyptic number.

It is an amenable number.

1101010101009 is a deficient number, since it is larger than the sum of its proper divisors (790363789551).

1101010101009 is a wasteful number, since it uses less digits than its factorization.

1101010101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 1101010101009 in words is "one trillion, one hundred one billion, ten million, one hundred one thousand, nine".