101000011011009 has 64 divisors (see below), whose sum is σ = 155705440665600. Its totient is φ = 57592575374400.

The previous prime is 101000011011007. The next prime is 101000011011017. The reversal of 101000011011009 is 900110110000101.

It is not a de Polignac number, because 101000011011009 - 2¹ = 101000011011007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000011011007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57723004 + ... + 59446994.

It is an arithmetic number, because the mean of its divisors is an integer number (2432897510400).

Almost surely, 2^{101000011011009} is an apocalyptic number.

101000011011009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101000011011009 is a deficient number, since it is larger than the sum of its proper divisors (54705429654591).

101000011011009 is a wasteful number, since it uses less digits than its factorization.

101000011011009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724666.

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

The spelling of 101000011011009 in words is "one hundred one trillion, eleven million, eleven thousand, nine".