211105133120001 has 64 divisors (see below), whose sum is σ = 293647507808256. Its totient is φ = 134754122880000.

The previous prime is 211105133119963. The next prime is 211105133120009. The reversal of 211105133120001 is 100021331501112.

It is not a de Polignac number, because 211105133120001 - 2¹⁹ = 211105132595713 is a prime.

It is a super-2 number, since 2×211105133120001² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211105133120001.

It is not an unprimeable number, because it can be changed into a prime (211105133120009) 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 63 ways as a sum of consecutive naturals, for example, 23282793870 + ... + 23282802936.

It is an arithmetic number, because the mean of its divisors is an integer number (4588242309504).

Almost surely, 2^{211105133120001} is an apocalyptic number.

It is an amenable number.

211105133120001 is a deficient number, since it is larger than the sum of its proper divisors (82542374688255).

211105133120001 is a wasteful number, since it uses less digits than its factorization.

211105133120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15862.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 211105133120001 its reverse (100021331501112), we get a palindrome (311126464621113).

The spelling of 211105133120001 in words is "two hundred eleven trillion, one hundred five billion, one hundred thirty-three million, one hundred twenty thousand, one".