100121102009 has 8 divisors (see below), whose sum is σ = 100352400000. Its totient is φ = 99889927632.

The previous prime is 100121101999. The next prime is 100121102021. The reversal of 100121102009 is 900201121001.

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 100121102009 - 2³⁶ = 31401625273 is a prime.

It is a super-4 number, since 4×100121102009⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121102099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1702112 + ... + 1759950.

It is an arithmetic number, because the mean of its divisors is an integer number (12544050000).

Almost surely, 2^100121102009 is an apocalyptic number.

It is an amenable number.

100121102009 is a deficient number, since it is larger than the sum of its proper divisors (231297991).

100121102009 is an equidigital number, since it uses as much as digits as its factorization.

100121102009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61807.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 100121102009 in words is "one hundred billion, one hundred twenty-one million, one hundred two thousand, nine".