1010130221312 has 72 divisors (see below), whose sum is σ = 2029450583160. Its totient is φ = 501780234240.

The previous prime is 1010130221299. The next prime is 1010130221323. The reversal of 1010130221312 is 2131220310101.

It can be written as a sum of positive squares in 4 ways, for example, as 3206277376 + 1006923943936 = 56624^2 + 1003456^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49522988 + ... + 49543380.

It is an arithmetic number, because the mean of its divisors is an integer number (28186813655).

Almost surely, 2^{1010130221312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010130221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014725291580).

1010130221312 is an abundant number, since it is smaller than the sum of its proper divisors (1019320361848).

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

1010130221312 is a wasteful number, since it uses less digits than its factorization.

1010130221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21659 (or 21645 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1010130221312 its reverse (2131220310101), we get a palindrome (3141350531413).

The spelling of 1010130221312 in words is "one trillion, ten billion, one hundred thirty million, two hundred twenty-one thousand, three hundred twelve".