211515200001 has 48 divisors (see below), whose sum is σ = 352747399680. Its totient is φ = 119627625600.

The previous prime is 211515199921. The next prime is 211515200011. The reversal of 211515200001 is 100002515112.

It is not a de Polignac number, because 211515200001 - 2¹¹ = 211515197953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211515200011) 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 47 ways as a sum of consecutive naturals, for example, 36221640 + ... + 36227478.

It is an arithmetic number, because the mean of its divisors is an integer number (7348904160).

Almost surely, 2^211515200001 is an apocalyptic number.

211515200001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211515200001 is a deficient number, since it is larger than the sum of its proper divisors (141232199679).

211515200001 is a wasteful number, since it uses less digits than its factorization.

211515200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11646 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 211515200001 its reverse (100002515112), we get a palindrome (311517715113).

The spelling of 211515200001 in words is "two hundred eleven billion, five hundred fifteen million, two hundred thousand, one".