10205122165 has 32 divisors (see below), whose sum is σ = 14339372544. Its totient is φ = 6827950080.

The previous prime is 10205122153. The next prime is 10205122177. The reversal of 10205122165 is 56122150201.

It is an interprime number because it is at equal distance from previous prime (10205122153) and next prime (10205122177).

It is not a de Polignac number, because 10205122165 - 2²¹ = 10203025013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219877 + ... + 262213.

It is an arithmetic number, because the mean of its divisors is an integer number (448105392).

Almost surely, 2^10205122165 is an apocalyptic number.

It is an amenable number.

10205122165 is a deficient number, since it is larger than the sum of its proper divisors (4134250379).

10205122165 is an equidigital number, since it uses as much as digits as its factorization.

10205122165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42517.

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 10205122165 its reverse (56122150201), we get a palindrome (66327272366).

The spelling of 10205122165 in words is "ten billion, two hundred five million, one hundred twenty-two thousand, one hundred sixty-five".