1021310223120 has 160 divisors (see below), whose sum is σ = 3837650624640. Its totient is φ = 247590351360.

The previous prime is 1021310223097. The next prime is 1021310223127. The reversal of 1021310223120 is 213220131201.

1021310223120 is a `hidden beast` number, since 1 + 0 + 21 + 310 + 22 + 312 + 0 = 666.

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 = 1021310223093 and 1021310223102.

It is not an unprimeable number, because it can be changed into a prime (1021310223127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21468459 + ... + 21515978.

It is an arithmetic number, because the mean of its divisors is an integer number (23985316404).

Almost surely, 2^{1021310223120} is an apocalyptic number.

1021310223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021310223120 is an abundant number, since it is smaller than the sum of its proper divisors (2816340401520).

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

1021310223120 is a wasteful number, since it uses less digits than its factorization.

1021310223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42984470 (or 42984458 counting only the distinct ones).

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

Adding to 1021310223120 its reverse (213220131201), we get a palindrome (1234530354321).

The spelling of 1021310223120 in words is "one trillion, twenty-one billion, three hundred ten million, two hundred twenty-three thousand, one hundred twenty".