1002221254314 has 36 divisors (see below), whose sum is σ = 2526006632994. Its totient is φ = 286348929552.

The previous prime is 1002221254277. The next prime is 1002221254319. The reversal of 1002221254314 is 4134521222001.

1002221254314 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 221 + 2 + 5 + 431 + 4 = 666.

1002221254314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 864481550625 + 137739703689 = 929775^2 + 371133^2 .

It is a super-3 number, since 3×1002221254314³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1002221254319) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 568151757 + ... + 568153520.

Almost surely, 2^{1002221254314} is an apocalyptic number.

1002221254314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1002221254314 is an abundant number, since it is smaller than the sum of its proper divisors (1523785378680).

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

1002221254314 is a wasteful number, since it uses less digits than its factorization.

1002221254314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136305299 (or 1136305289 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1002221254314 its reverse (4134521222001), we get a palindrome (5136742476315).

The spelling of 1002221254314 in words is "one trillion, two billion, two hundred twenty-one million, two hundred fifty-four thousand, three hundred fourteen".