211101000100003 has 24 divisors (see below), whose sum is σ = 233965034773008. Its totient is φ = 190281658799232.

The previous prime is 211101000099949. The next prime is 211101000100009. The reversal of 211101000100003 is 300001000101112.

It is not a de Polignac number, because 211101000100003 - 2⁴⁵ = 175916628011171 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211101000100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24427801 + ... + 31920517.

It is an arithmetic number, because the mean of its divisors is an integer number (9748543115542).

Almost surely, 2^{211101000100003} is an apocalyptic number.

211101000100003 is a deficient number, since it is larger than the sum of its proper divisors (22864034673005).

211101000100003 is a wasteful number, since it uses less digits than its factorization.

211101000100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496663 (or 7496650 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 211101000100003 its reverse (300001000101112), we get a palindrome (511102000201115).

The spelling of 211101000100003 in words is "two hundred eleven trillion, one hundred one billion, one hundred thousand, three".