101041216011 has 6 divisors (see below), whose sum is σ = 145948423140. Its totient is φ = 67360810668.

The previous prime is 101041216009. The next prime is 101041216013. The reversal of 101041216011 is 110612140101.

101041216011 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 41 + 21 + 601 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (101041216009) and next prime (101041216013).

It is not a de Polignac number, because 101041216011 - 2¹ = 101041216009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101041216013) 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 5 ways as a sum of consecutive naturals, for example, 5613400881 + ... + 5613400898.

It is an arithmetic number, because the mean of its divisors is an integer number (24324737190).

Almost surely, 2^101041216011 is an apocalyptic number.

101041216011 is a deficient number, since it is larger than the sum of its proper divisors (44907207129).

101041216011 is a wasteful number, since it uses less digits than its factorization.

101041216011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226801785 (or 11226801782 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101041216011 its reverse (110612140101), we get a palindrome (211653356112).

The spelling of 101041216011 in words is "one hundred one billion, forty-one million, two hundred sixteen thousand, eleven".