101102312205 has 24 divisors (see below), whose sum is σ = 175251403392. Its totient is φ = 53918957664.

The previous prime is 101102312191. The next prime is 101102312219. The reversal of 101102312205 is 502213201101.

It is an interprime number because it is at equal distance from previous prime (101102312191) and next prime (101102312219).

It is not a de Polignac number, because 101102312205 - 2¹⁴ = 101102295821 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2071392 + ... + 2119638.

It is an arithmetic number, because the mean of its divisors is an integer number (7302141808).

Almost surely, 2^101102312205 is an apocalyptic number.

101102312205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101102312205 is a deficient number, since it is larger than the sum of its proper divisors (74149091187).

101102312205 is a wasteful number, since it uses less digits than its factorization.

101102312205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94825 (or 94822 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 101102312205 its reverse (502213201101), we get a palindrome (603315513306).

The spelling of 101102312205 in words is "one hundred one billion, one hundred two million, three hundred twelve thousand, two hundred five".