101010001101009 has 384 divisors, whose sum is σ = 188485832908800. Its totient is φ = 46785682944000.

The previous prime is 101010001101007. The next prime is 101010001101049. The reversal of 101010001101009 is 900101100010101.

It is not a de Polignac number, because 101010001101009 - 2¹ = 101010001101007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010001101007) 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 383 ways as a sum of consecutive naturals, for example, 168631053292 + ... + 168631053890.

It is an arithmetic number, because the mean of its divisors is an integer number (490848523200).

Almost surely, 2^{101010001101009} is an apocalyptic number.

It is an amenable number.

101010001101009 is a deficient number, since it is larger than the sum of its proper divisors (87475831807791).

101010001101009 is a wasteful number, since it uses less digits than its factorization.

101010001101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1442 counting only the distinct ones).

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

The spelling of 101010001101009 in words is "one hundred one trillion, ten billion, one million, one hundred one thousand, nine".