100212102009 has 24 divisors (see below), whose sum is σ = 146577150720. Its totient is φ = 65966049312.

The previous prime is 100212101933. The next prime is 100212102017. The reversal of 100212102009 is 900201212001.

It is not a de Polignac number, because 100212102009 - 2⁷ = 100212101881 is a prime.

It is a super-4 number, since 4×100212102009⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212101982 and 100212102000.

It is not an unprimeable number, because it can be changed into a prime (100212102019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324987 + ... + 1398575.

It is an arithmetic number, because the mean of its divisors is an integer number (6107381280).

Almost surely, 2^100212102009 is an apocalyptic number.

It is an amenable number.

100212102009 is a deficient number, since it is larger than the sum of its proper divisors (46365048711).

100212102009 is a wasteful number, since it uses less digits than its factorization.

100212102009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75501 (or 75498 counting only the distinct ones).

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

The spelling of 100212102009 in words is "one hundred billion, two hundred twelve million, one hundred two thousand, nine".