101001100211 has 16 divisors (see below), whose sum is σ = 114167391840. Its totient is φ = 88509146880.

The previous prime is 101001100141. The next prime is 101001100223. The reversal of 101001100211 is 112001100101.

It is a happy number.

It is not a de Polignac number, because 101001100211 - 2¹⁰ = 101001099187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001100231) 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, 59756 + ... + 453401.

It is an arithmetic number, because the mean of its divisors is an integer number (7135461990).

Almost surely, 2^101001100211 is an apocalyptic number.

101001100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101001100211 is a deficient number, since it is larger than the sum of its proper divisors (13166291629).

101001100211 is a wasteful number, since it uses less digits than its factorization.

101001100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513814.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001100211 its reverse (112001100101), we get a palindrome (213002200312).

The spelling of 101001100211 in words is "one hundred one billion, one million, one hundred thousand, two hundred eleven".