101919001909 has 16 divisors (see below), whose sum is σ = 105736458240. Its totient is φ = 98135153280.

The previous prime is 101919001907. The next prime is 101919001913. The reversal of 101919001909 is 909100919101.

It is a cyclic number.

It is not a de Polignac number, because 101919001909 - 2¹ = 101919001907 is a prime.

It is a super-3 number, since 3×101919001909³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101919001901) 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, 19194747 + ... + 19200055.

It is an arithmetic number, because the mean of its divisors is an integer number (6608528640).

Almost surely, 2^101919001909 is an apocalyptic number.

It is an amenable number.

101919001909 is a deficient number, since it is larger than the sum of its proper divisors (3817456331).

101919001909 is a wasteful number, since it uses less digits than its factorization.

101919001909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8340.

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 101919001909 in words is "one hundred one billion, nine hundred nineteen million, one thousand, nine hundred nine".