821011020110105 has 16 divisors (see below), whose sum is σ = 1121507543677824. Its totient is φ = 571138100945280.

The previous prime is 821011020110101. The next prime is 821011020110123. The reversal of 821011020110105 is 501011020110128.

It is a happy number.

821011020110105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 821011020110105 - 2² = 821011020110101 is a prime.

It is a super-2 number, since 2×821011020110105² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (821011020110101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324510283364 + ... + 324510285893.

It is an arithmetic number, because the mean of its divisors is an integer number (70094221479864).

Almost surely, 2^{821011020110105} is an apocalyptic number.

It is an amenable number.

821011020110105 is a deficient number, since it is larger than the sum of its proper divisors (300496523567719).

821011020110105 is a wasteful number, since it uses less digits than its factorization.

821011020110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649020569296.

The product of its (nonzero) digits is 160, while the sum is 23.

Adding to 821011020110105 its sum of digits (23), we get a palindrome (821011020110128).

The spelling of 821011020110105 in words is "eight hundred twenty-one trillion, eleven billion, twenty million, one hundred ten thousand, one hundred five".