1013212221012 has 60 divisors (see below), whose sum is σ = 2648992320436. Its totient is φ = 337704837120.

The previous prime is 1013212220989. The next prime is 1013212221023. The reversal of 1013212221012 is 2101222123101.

1013212221012 is a `hidden beast` number, since 101 + 321 + 22 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 759522708036 + 253689512976 = 871506^2 + 503676^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3338562 + ... + 3629382.

Almost surely, 2^{1013212221012} is an apocalyptic number.

1013212221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013212221012 is an abundant number, since it is smaller than the sum of its proper divisors (1635780099424).

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

1013212221012 is a wasteful number, since it uses less digits than its factorization.

1013212221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301590 (or 301579 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1013212221012 its reverse (2101222123101), we get a palindrome (3114434344113).

The spelling of 1013212221012 in words is "one trillion, thirteen billion, two hundred twelve million, two hundred twenty-one thousand, twelve".