10100320211 has 32 divisors (see below), whose sum is σ = 11609174016. Its totient is φ = 8731008000.

The previous prime is 10100320171. The next prime is 10100320277. The reversal of 10100320211 is 11202300101.

10100320211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100320211 - 2⁶ = 10100320147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100320192 and 10100320201.

It is not an unprimeable number, because it can be changed into a prime (10100326211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1584671 + ... + 1591031.

It is an arithmetic number, because the mean of its divisors is an integer number (362786688).

Almost surely, 2^10100320211 is an apocalyptic number.

10100320211 is a deficient number, since it is larger than the sum of its proper divisors (1508853805).

10100320211 is a wasteful number, since it uses less digits than its factorization.

10100320211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10100320211 its reverse (11202300101), we get a palindrome (21302620312).

The spelling of 10100320211 in words is "ten billion, one hundred million, three hundred twenty thousand, two hundred eleven".