821011110128 has 80 divisors (see below), whose sum is σ = 1862566832736. Its totient is φ = 346423173120.

The previous prime is 821011110113. The next prime is 821011110149.

821011110128 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×821011110128² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 821011110097 and 821011110106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1661051 + ... + 2097882.

Almost surely, 2^821011110128 is an apocalyptic number.

821011110128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

821011110128 is an abundant number, since it is smaller than the sum of its proper divisors (1041555722608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821011110128 is a wasteful number, since it uses less digits than its factorization.

821011110128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759042 (or 3759036 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 26.

It can be divided in two parts, 821011 and 110128, that added together give a palindrome (931139).

The spelling of 821011110128 in words is "eight hundred twenty-one billion, eleven million, one hundred ten thousand, one hundred twenty-eight".