10204114424661 has 12 divisors (see below), whose sum is σ = 14743158262092. Its totient is φ = 6800951317056.

The previous prime is 10204114424627. The next prime is 10204114424717. The reversal of 10204114424661 is 16642441140201.

10204114424661 is a `hidden beast` number, since 1 + 0 + 204 + 1 + 1 + 442 + 4 + 6 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 326262585636 + 9877851839025 = 571194^2 + 3142905^2 .

It is not a de Polignac number, because 10204114424661 - 2¹⁰ = 10204114423637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204114424761) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 149266656 + ... + 149335001.

It is an arithmetic number, because the mean of its divisors is an integer number (1228596521841).

Almost surely, 2^{10204114424661} is an apocalyptic number.

It is an amenable number.

10204114424661 is a deficient number, since it is larger than the sum of its proper divisors (4539043837431).

10204114424661 is a wasteful number, since it uses less digits than its factorization.

10204114424661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298605460 (or 298605457 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 10204114424661 its reverse (16642441140201), we get a palindrome (26846555564862).

The spelling of 10204114424661 in words is "ten trillion, two hundred four billion, one hundred fourteen million, four hundred twenty-four thousand, six hundred sixty-one".