20101220122009 has 8 divisors (see below), whose sum is σ = 21648650937032. Its totient is φ = 18553958323200.

The previous prime is 20101220122007. The next prime is 20101220122013. The reversal of 20101220122009 is 90022102210102.

It can be written as a sum of positive squares in 4 ways, for example, as 4705233414025 + 15395986707984 = 2169155^2 + 3923772^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20101220122009 - 2¹ = 20101220122007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101220122001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42006984 + ... + 42482809.

It is an arithmetic number, because the mean of its divisors is an integer number (2706081367129).

Almost surely, 2^{20101220122009} is an apocalyptic number.

It is an amenable number.

20101220122009 is a deficient number, since it is larger than the sum of its proper divisors (1547430815023).

20101220122009 is a wasteful number, since it uses less digits than its factorization.

20101220122009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84508107.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 20101220122009 in words is "twenty trillion, one hundred one billion, two hundred twenty million, one hundred twenty-two thousand, nine".