10202144410213 has 16 divisors (see below), whose sum is σ = 11958210190080. Its totient is φ = 8521241212800.

The previous prime is 10202144410193. The next prime is 10202144410291. The reversal of 10202144410213 is 31201444120201.

10202144410213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10202144410213 - 2⁵ = 10202144410181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202144410613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20943678 + ... + 21425263.

It is an arithmetic number, because the mean of its divisors is an integer number (747388136880).

Almost surely, 2^{10202144410213} is an apocalyptic number.

It is an amenable number.

10202144410213 is a deficient number, since it is larger than the sum of its proper divisors (1756065779867).

10202144410213 is an equidigital number, since it uses as much as digits as its factorization.

10202144410213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42369828.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10202144410213 its reverse (31201444120201), we get a palindrome (41403588530414).

The spelling of 10202144410213 in words is "ten trillion, two hundred two billion, one hundred forty-four million, four hundred ten thousand, two hundred thirteen".