100121022009 has 12 divisors (see below), whose sum is σ = 144635965396. Its totient is φ = 66739635072.

The previous prime is 100121022007. The next prime is 100121022161. The reversal of 100121022009 is 900220121001.

It can be written as a sum of positive squares in 2 ways, for example, as 61738334784 + 38382687225 = 248472^2 + 195915^2 .

It is not a de Polignac number, because 100121022009 - 2¹ = 100121022007 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100121021982 and 100121022000.

It is not an unprimeable number, because it can be changed into a prime (100121022007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559972 + ... + 716805.

Almost surely, 2^100121022009 is an apocalyptic number.

It is an amenable number.

100121022009 is a deficient number, since it is larger than the sum of its proper divisors (44514943387).

100121022009 is a wasteful number, since it uses less digits than its factorization.

100121022009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285496 (or 1285493 counting only the distinct ones).

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

The spelling of 100121022009 in words is "one hundred billion, one hundred twenty-one million, twenty-two thousand, nine".