1012103211330 has 192 divisors, whose sum is σ = 2785109184000. Its totient is φ = 254294401536.

The previous prime is 1012103211271. The next prime is 1012103211337. The reversal of 1012103211330 is 331123012101.

1012103211330 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 10 + 321 + 1 + 330 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012103211337) 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 95 ways as a sum of consecutive naturals, for example, 584017144 + ... + 584018876.

It is an arithmetic number, because the mean of its divisors is an integer number (14505777000).

Almost surely, 2^{1012103211330} is an apocalyptic number.

1012103211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012103211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392554592000).

1012103211330 is an abundant number, since it is smaller than the sum of its proper divisors (1773005972670).

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

1012103211330 is a wasteful number, since it uses less digits than its factorization.

1012103211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1012103211330 its reverse (331123012101), we get a palindrome (1343226223431).

The spelling of 1012103211330 in words is "one trillion, twelve billion, one hundred three million, two hundred eleven thousand, three hundred thirty".