10002102201253 has 2 divisors, whose sum is σ = 10002102201254. Its totient is φ = 10002102201252.

The previous prime is 10002102201209. The next prime is 10002102201313. The reversal of 10002102201253 is 35210220120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5399781530049 + 4602320671204 = 2323743^2 + 2145302^2 .

It is an emirp because it is prime and its reverse (35210220120001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002102201253 is a prime.

It is a super-2 number, since 2×10002102201253² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10002102201253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002102201953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001051100626 + 5001051100627.

It is an arithmetic number, because the mean of its divisors is an integer number (5001051100627).

Almost surely, 2^{10002102201253} is an apocalyptic number.

It is an amenable number.

10002102201253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002102201253 is an equidigital number, since it uses as much as digits as its factorization.

10002102201253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10002102201253 its reverse (35210220120001), we get a palindrome (45212322321254).

The spelling of 10002102201253 in words is "ten trillion, two billion, one hundred two million, two hundred one thousand, two hundred fifty-three".