10205021311 has 16 divisors (see below), whose sum is σ = 10676565504. Its totient is φ = 9744606144.

The previous prime is 10205021297. The next prime is 10205021339. The reversal of 10205021311 is 11312050201.

It is a cyclic number.

It is not a de Polignac number, because 10205021311 - 2⁵ = 10205021279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205021371) 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, 2214736 + ... + 2219338.

It is an arithmetic number, because the mean of its divisors is an integer number (667285344).

Almost surely, 2^10205021311 is an apocalyptic number.

10205021311 is a deficient number, since it is larger than the sum of its proper divisors (471544193).

10205021311 is a wasteful number, since it uses less digits than its factorization.

10205021311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790.

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10205021311 its reverse (11312050201), we get a palindrome (21517071512).

The spelling of 10205021311 in words is "ten billion, two hundred five million, twenty-one thousand, three hundred eleven".