821110020011128 has 64 divisors (see below), whose sum is σ = 1593278505000000. Its totient is φ = 396443432064000.

The previous prime is 821110020011077. The next prime is 821110020011131.

821110020011128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 821110020011096 and 821110020011105.

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, 95218498 + ... + 103483246.

It is an arithmetic number, because the mean of its divisors is an integer number (24894976640625).

Almost surely, 2^{821110020011128} is an apocalyptic number.

It is an amenable number.

821110020011128 is a deficient number, since it is larger than the sum of its proper divisors (772168484988872).

821110020011128 is a wasteful number, since it uses less digits than its factorization.

821110020011128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267896 (or 8267892 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 28.

The spelling of 821110020011128 in words is "eight hundred twenty-one trillion, one hundred ten billion, twenty million, eleven thousand, one hundred twenty-eight".