10202102113434 has 128 divisors (see below), whose sum is σ = 25682486151168. Its totient is φ = 2624645410560.

The previous prime is 10202102113433. The next prime is 10202102113453. The reversal of 10202102113434 is 43431120120201.

It is not an unprimeable number, because it can be changed into a prime (10202102113433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21833472 + ... + 22295844.

It is an arithmetic number, because the mean of its divisors is an integer number (200644423056).

Almost surely, 2^{10202102113434} is an apocalyptic number.

10202102113434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202102113434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841243075584).

10202102113434 is an abundant number, since it is smaller than the sum of its proper divisors (15480384037734).

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

10202102113434 is a wasteful number, since it uses less digits than its factorization.

10202102113434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462852.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10202102113434 its reverse (43431120120201), we get a palindrome (53633222233635).

The spelling of 10202102113434 in words is "ten trillion, two hundred two billion, one hundred two million, one hundred thirteen thousand, four hundred thirty-four".