1022103213120 has 224 divisors, whose sum is σ = 3933549095040. Its totient is φ = 247782574080.

The previous prime is 1022103213097. The next prime is 1022103213127. The reversal of 1022103213120 is 213123012201.

1022103213120 is a `hidden beast` number, since 1 + 0 + 22 + 10 + 321 + 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 = 1022103213093 and 1022103213102.

It is not an unprimeable number, because it can be changed into a prime (1022103213127) 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, 5282187 + ... + 5472266.

Almost surely, 2^{1022103213120} is an apocalyptic number.

1022103213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022103213120 is an abundant number, since it is smaller than the sum of its proper divisors (2911445881920).

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

1022103213120 is a wasteful number, since it uses less digits than its factorization.

1022103213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754490 (or 10754474 counting only the distinct ones).

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

Adding to 1022103213120 its reverse (213123012201), we get a palindrome (1235226225321).

The spelling of 1022103213120 in words is "one trillion, twenty-two billion, one hundred three million, two hundred thirteen thousand, one hundred twenty".