100211010009 has 16 divisors (see below), whose sum is σ = 146566789824. Its totient is φ = 60398395200.

The previous prime is 100211009971. The next prime is 100211010019. The reversal of 100211010009 is 900010112001.

It is not a de Polignac number, because 100211010009 - 2¹² = 100211005913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100211010009.

It is not an unprimeable number, because it can be changed into a prime (100211010019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8382694 + ... + 8394639.

It is an arithmetic number, because the mean of its divisors is an integer number (9160424364).

Almost surely, 2^100211010009 is an apocalyptic number.

It is an amenable number.

100211010009 is a deficient number, since it is larger than the sum of its proper divisors (46355779815).

100211010009 is a wasteful number, since it uses less digits than its factorization.

100211010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16777528.

The product of its (nonzero) digits is 18, while the sum is 15.

It can be divided in two parts, 1002 and 11010009, that added together give a palindrome (11011011).

The spelling of 100211010009 in words is "one hundred billion, two hundred eleven million, ten thousand, nine".