105010421211 has 12 divisors (see below), whose sum is σ = 151700594760. Its totient is φ = 69998235840.

The previous prime is 105010421189. The next prime is 105010421221. The reversal of 105010421211 is 112124010501.

105010421211 is a `hidden beast` number, since 1 + 0 + 501 + 0 + 42 + 121 + 1 = 666.

It is not a de Polignac number, because 105010421211 - 2⁹ = 105010420699 is a prime.

It is a super-2 number, since 2×105010421211² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105010421221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 649201 + ... + 794658.

It is an arithmetic number, because the mean of its divisors is an integer number (12641716230).

Almost surely, 2^105010421211 is an apocalyptic number.

105010421211 is a deficient number, since it is larger than the sum of its proper divisors (46690173549).

105010421211 is a wasteful number, since it uses less digits than its factorization.

105010421211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451946 (or 1451943 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 105010421211 its reverse (112124010501), we get a palindrome (217134431712).

The spelling of 105010421211 in words is "one hundred five billion, ten million, four hundred twenty-one thousand, two hundred eleven".