1022103112320 has 192 divisors, whose sum is σ = 3574127980800. Its totient is φ = 269110573056.

The previous prime is 1022103112297. The next prime is 1022103112333. The reversal of 1022103112320 is 232113012201.

1022103112320 is a `hidden beast` number, since 1 + 0 + 22 + 10 + 311 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1022103112293 and 1022103112302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668052 + ... + 1578131.

It is an arithmetic number, because the mean of its divisors is an integer number (18615249900).

Almost surely, 2^{1022103112320} is an apocalyptic number.

1022103112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022103112320 is an abundant number, since it is smaller than the sum of its proper divisors (2552024868480).

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

1022103112320 is a wasteful number, since it uses less digits than its factorization.

1022103112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246287 (or 2246272 counting only the distinct ones).

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

Adding to 1022103112320 its reverse (232113012201), we get a palindrome (1254216124521).

The spelling of 1022103112320 in words is "one trillion, twenty-two billion, one hundred three million, one hundred twelve thousand, three hundred twenty".