10010211100 has 36 divisors (see below), whose sum is σ = 21727000008. Its totient is φ = 4003192000.

The previous prime is 10010211083. The next prime is 10010211137. The reversal of 10010211100 is 111201001.

10010211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614055 + ... + 630145.

It is an arithmetic number, because the mean of its divisors is an integer number (603527778).

Almost surely, 2^10010211100 is an apocalyptic number.

10010211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010211100 is an abundant number, since it is smaller than the sum of its proper divisors (11716788908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10010211100 is a wasteful number, since it uses less digits than its factorization.

10010211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22326 (or 22319 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10010211100 its reverse (111201001), we get a palindrome (10121412101).

The spelling of 10010211100 in words is "ten billion, ten million, two hundred eleven thousand, one hundred".