100101001011009 has 64 divisors (see below), whose sum is σ = 137706080244480. Its totient is φ = 64632513254400.

The previous prime is 100101001010987. The next prime is 100101001011019. The reversal of 100101001011009 is 900110100101001.

It is not a de Polignac number, because 100101001011009 - 2¹⁵ = 100101000978241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101001011019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62058896287 + ... + 62058897899.

It is an arithmetic number, because the mean of its divisors is an integer number (2151657503820).

Almost surely, 2^{100101001011009} is an apocalyptic number.

It is an amenable number.

100101001011009 is a deficient number, since it is larger than the sum of its proper divisors (37605079233471).

100101001011009 is a wasteful number, since it uses less digits than its factorization.

100101001011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370.

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

The spelling of 100101001011009 in words is "one hundred trillion, one hundred one billion, one million, eleven thousand, nine".