1022011303120 has 20 divisors (see below), whose sum is σ = 2376176279940. Its totient is φ = 408804521216.

The previous prime is 1022011303087. The next prime is 1022011303171. The reversal of 1022011303120 is 213031102201.

It can be written as a sum of positive squares in 2 ways, for example, as 500114867344 + 521896435776 = 707188^2 + 722424^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1022011303094 and 1022011303103.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6387570565 + ... + 6387570724.

It is an arithmetic number, because the mean of its divisors is an integer number (118808813997).

Almost surely, 2^{1022011303120} is an apocalyptic number.

1022011303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022011303120 is an abundant number, since it is smaller than the sum of its proper divisors (1354164976820).

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

1022011303120 is a wasteful number, since it uses less digits than its factorization.

1022011303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12775141302 (or 12775141296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1022011303120 its reverse (213031102201), we get a palindrome (1235042405321).

The spelling of 1022011303120 in words is "one trillion, twenty-two billion, eleven million, three hundred three thousand, one hundred twenty".