821211101112128 has 56 divisors (see below), whose sum is σ = 1700509389342720. Its totient is φ = 392737697763840.

The previous prime is 821211101112113. The next prime is 821211101112167.

821211101112128 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 821211101112094 and 821211101112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26541878 + ... + 48444746.

Almost surely, 2^{821211101112128} is an apocalyptic number.

It is an amenable number.

821211101112128 is an abundant number, since it is smaller than the sum of its proper divisors (879298288230592).

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

821211101112128 is a wasteful number, since it uses less digits than its factorization.

821211101112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21928375 (or 21928365 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 32.

It can be divided in two parts, 82121110 and 1112128, that added together give a palindrome (83233238).

The spelling of 821211101112128 in words is "eight hundred twenty-one trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, one hundred twenty-eight".