1020332111220 has 36 divisors (see below), whose sum is σ = 3095007404580. Its totient is φ = 272088562944.

The previous prime is 1020332111219. The next prime is 1020332111233. The reversal of 1020332111220 is 221112330201.

1020332111220 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 332 + 111 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 693575827344 + 326756283876 = 832812^2 + 571626^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020332111193 and 1020332111202.

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 11 ways as a sum of consecutive naturals, for example, 2834255685 + ... + 2834256044.

It is an arithmetic number, because the mean of its divisors is an integer number (85972427905).

Almost surely, 2^{1020332111220} is an apocalyptic number.

1020332111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020332111220 is an abundant number, since it is smaller than the sum of its proper divisors (2074675293360).

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

1020332111220 is a wasteful number, since it uses less digits than its factorization.

1020332111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668511744 (or 5668511739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1020332111220 its reverse (221112330201), we get a palindrome (1241444441421).

The spelling of 1020332111220 in words is "one trillion, twenty billion, three hundred thirty-two million, one hundred eleven thousand, two hundred twenty".