101001009999999 has 16 divisors (see below), whose sum is σ = 138493837112832. Its totient is φ = 65425993401888.

The previous prime is 101001009999983. The next prime is 101001010000049. The reversal of 101001009999999 is 999999900100101.

It is not a de Polignac number, because 101001009999999 - 2⁴ = 101001009999983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001009999919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612245259 + ... + 612410204.

It is an arithmetic number, because the mean of its divisors is an integer number (8655864819552).

Almost surely, 2^{101001009999999} is an apocalyptic number.

101001009999999 is a deficient number, since it is larger than the sum of its proper divisors (37492827112833).

101001009999999 is a wasteful number, since it uses less digits than its factorization.

101001009999999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224656246.

The product of its (nonzero) digits is 4782969, while the sum is 66.

The spelling of 101001009999999 in words is "one hundred one trillion, one billion, nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine".