105221310015021 has 64 divisors (see below), whose sum is σ = 150558041088000. Its totient is φ = 65130149246976.

The previous prime is 105221310015011. The next prime is 105221310015067. The reversal of 105221310015021 is 120510013122501.

It is not a de Polignac number, because 105221310015021 - 2⁷ = 105221310014893 is a prime.

It is a super-2 number, since 2×105221310015021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105221310014982 and 105221310015000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105221310015011) 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, 10118401380 + ... + 10118411778.

It is an arithmetic number, because the mean of its divisors is an integer number (2352469392000).

Almost surely, 2^{105221310015021} is an apocalyptic number.

It is an amenable number.

105221310015021 is a deficient number, since it is larger than the sum of its proper divisors (45336731072979).

105221310015021 is a wasteful number, since it uses less digits than its factorization.

105221310015021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13778.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 105221310015021 its reverse (120510013122501), we get a palindrome (225731323137522).

The spelling of 105221310015021 in words is "one hundred five trillion, two hundred twenty-one billion, three hundred ten million, fifteen thousand, twenty-one".