211002010107 has 64 divisors (see below), whose sum is σ = 350645760000. Its totient is φ = 110122201728.

The previous prime is 211002010091. The next prime is 211002010117. The reversal of 211002010107 is 701010200112.

211002010107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211002010107 - 2⁴ = 211002010091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211002010117) 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 63 ways as a sum of consecutive naturals, for example, 7889644 + ... + 7916342.

It is an arithmetic number, because the mean of its divisors is an integer number (5478840000).

Almost surely, 2^211002010107 is an apocalyptic number.

211002010107 is a deficient number, since it is larger than the sum of its proper divisors (139643749893).

211002010107 is a wasteful number, since it uses less digits than its factorization.

211002010107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27440.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 211002010107 its reverse (701010200112), we get a palindrome (912012210219).

The spelling of 211002010107 in words is "two hundred eleven billion, two million, ten thousand, one hundred seven".