101001122205 has 32 divisors (see below), whose sum is σ = 165623851008. Its totient is φ = 52527859200.

The previous prime is 101001122179. The next prime is 101001122239. The reversal of 101001122205 is 502221100101.

It is not a de Polignac number, because 101001122205 - 2¹³ = 101001114013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259367 + ... + 1337163.

It is an arithmetic number, because the mean of its divisors is an integer number (5175745344).

Almost surely, 2^101001122205 is an apocalyptic number.

101001122205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101001122205 is a deficient number, since it is larger than the sum of its proper divisors (64622728803).

101001122205 is a wasteful number, since it uses less digits than its factorization.

101001122205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79957.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 101001122205 its reverse (502221100101), we get a palindrome (603222222306).

The spelling of 101001122205 in words is "one hundred one billion, one million, one hundred twenty-two thousand, two hundred five".