10205838011 has 8 divisors (see below), whose sum is σ = 11089536000. Its totient is φ = 9356794920.

The previous prime is 10205837951. The next prime is 10205838023. The reversal of 10205838011 is 11083850201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10205838011 - 2⁶ = 10205837947 is a prime.

It is a super-2 number, since 2×10205838011² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10205838611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8663111 + ... + 8664288.

It is an arithmetic number, because the mean of its divisors is an integer number (1386192000).

Almost surely, 2^10205838011 is an apocalyptic number.

10205838011 is a deficient number, since it is larger than the sum of its proper divisors (883697989).

10205838011 is a wasteful number, since it uses less digits than its factorization.

10205838011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17327449.

The product of its (nonzero) digits is 1920, while the sum is 29.

The spelling of 10205838011 in words is "ten billion, two hundred five million, eight hundred thirty-eight thousand, eleven".