10204101335216 has 80 divisors (see below), whose sum is σ = 21184788086784. Its totient is φ = 4750439645952.

The previous prime is 10204101335191. The next prime is 10204101335237. The reversal of 10204101335216 is 61253310140201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417245 + ... + 4536771.

Almost surely, 2^{10204101335216} is an apocalyptic number.

10204101335216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204101335216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10592394043392).

10204101335216 is an abundant number, since it is smaller than the sum of its proper divisors (10980686751568).

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

10204101335216 is a wasteful number, since it uses less digits than its factorization.

10204101335216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119738 (or 4119732 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 10204101335216 its reverse (61253310140201), we get a palindrome (71457411475417).

The spelling of 10204101335216 in words is "ten trillion, two hundred four billion, one hundred one million, three hundred thirty-five thousand, two hundred sixteen".