100201212009 has 6 divisors (see below), whose sum is σ = 144735084026. Its totient is φ = 66800808000.

The previous prime is 100201211989. The next prime is 100201212011. The reversal of 100201212009 is 900212102001.

It can be written as a sum of positive squares in only one way, i.e., 51744875625 + 48456336384 = 227475^2 + 220128^2 .

It is not a de Polignac number, because 100201212009 - 2¹⁶ = 100201146473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201211982 and 100201212000.

It is not an unprimeable number, because it can be changed into a prime (100201212049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5566733992 + ... + 5566734009.

Almost surely, 2^100201212009 is an apocalyptic number.

It is an amenable number.

100201212009 is a deficient number, since it is larger than the sum of its proper divisors (44533872017).

100201212009 is a wasteful number, since it uses less digits than its factorization.

100201212009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11133468007 (or 11133468004 counting only the distinct ones).

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

The spelling of 100201212009 in words is "one hundred billion, two hundred one million, two hundred twelve thousand, nine".