1021128180228 has 144 divisors (see below), whose sum is σ = 2832693951360. Its totient is φ = 308229691392.

The previous prime is 1021128180089. The next prime is 1021128180253. The reversal of 1021128180228 is 8220818211201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1021128180192 and 1021128180201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13409076 + ... + 13485012.

Almost surely, 2^{1021128180228} is an apocalyptic number.

1021128180228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021128180228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416346975680).

1021128180228 is an abundant number, since it is smaller than the sum of its proper divisors (1811565771132).

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

1021128180228 is a wasteful number, since it uses less digits than its factorization.

1021128180228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76506 (or 76501 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 1021128180228 in words is "one trillion, twenty-one billion, one hundred twenty-eight million, one hundred eighty thousand, two hundred twenty-eight".