101121201101005 has 16 divisors (see below), whose sum is σ = 124790445068544. Its totient is φ = 78628821768640.

The previous prime is 101121201100961. The next prime is 101121201101027. The reversal of 101121201101005 is 500101102121101.

It is not a de Polignac number, because 101121201101005 - 2¹⁹ = 101121200576717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121201101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783099861 + ... + 1783156570.

It is an arithmetic number, because the mean of its divisors is an integer number (7799402816784).

Almost surely, 2^{101121201101005} is an apocalyptic number.

It is an amenable number.

101121201101005 is a deficient number, since it is larger than the sum of its proper divisors (23669243967539).

101121201101005 is a wasteful number, since it uses less digits than its factorization.

101121201101005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566256596.

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

Adding to 101121201101005 its reverse (500101102121101), we get a palindrome (601222303222106).

The spelling of 101121201101005 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, one hundred one thousand, five".