101021101211005 has 64 divisors (see below), whose sum is σ = 128665664225280. Its totient is φ = 76035111609600.

The previous prime is 101021101210987. The next prime is 101021101211021. The reversal of 101021101211005 is 500112101120101.

It is not a de Polignac number, because 101021101211005 - 2¹⁵ = 101021101178237 is a prime.

It is a super-3 number, since 3×101021101211005³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101021101211005.

It is a congruent number.

It is an unprimeable number.

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, 2032143100 + ... + 2032192810.

It is an arithmetic number, because the mean of its divisors is an integer number (2010401003520).

Almost surely, 2^{101021101211005} is an apocalyptic number.

It is an amenable number.

101021101211005 is a deficient number, since it is larger than the sum of its proper divisors (27644563014275).

101021101211005 is a wasteful number, since it uses less digits than its factorization.

101021101211005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52370.

The product of its (nonzero) digits is 20, while the sum is 16.

Adding to 101021101211005 its reverse (500112101120101), we get a palindrome (601133202331106).

The spelling of 101021101211005 in words is "one hundred one trillion, twenty-one billion, one hundred one million, two hundred eleven thousand, five".