100122001209 has 80 divisors (see below), whose sum is σ = 160420986880. Its totient is φ = 62043965280.

The previous prime is 100122001183. The next prime is 100122001241. The reversal of 100122001209 is 902100221001.

It is not a de Polignac number, because 100122001209 - 2¹⁶ = 100121935673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122001191 and 100122001200.

It is not an unprimeable number, because it can be changed into a prime (100122002209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27941832 + ... + 27945414.

It is an arithmetic number, because the mean of its divisors is an integer number (2005262336).

Almost surely, 2^100122001209 is an apocalyptic number.

100122001209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100122001209 is a deficient number, since it is larger than the sum of its proper divisors (60298985671).

100122001209 is a wasteful number, since it uses less digits than its factorization.

100122001209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 100122001209 in words is "one hundred billion, one hundred twenty-two million, one thousand, two hundred nine".