10001001101209 has 16 divisors (see below), whose sum is σ = 10611679795200. Its totient is φ = 9398773367424.

The previous prime is 10001001101153. The next prime is 10001001101233. The reversal of 10001001101209 is 90210110010001.

It is not a de Polignac number, because 10001001101209 - 2²⁷ = 10000866883481 is a prime.

It is a super-2 number, since 2×10001001101209² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001001101192 and 10001001101201.

It is not an unprimeable number, because it can be changed into a prime (10001001161209) 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, 18039189 + ... + 18585325.

It is an arithmetic number, because the mean of its divisors is an integer number (663229987200).

Almost surely, 2^{10001001101209} is an apocalyptic number.

10001001101209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10001001101209 is a deficient number, since it is larger than the sum of its proper divisors (610678693991).

10001001101209 is a wasteful number, since it uses less digits than its factorization.

10001001101209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553872.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 10001001101209 in words is "ten trillion, one billion, one million, one hundred one thousand, two hundred nine".