101000100012205 has 8 divisors (see below), whose sum is σ = 121212618796152. Its totient is φ = 80791747488768.

The previous prime is 101000100012197. The next prime is 101000100012233. The reversal of 101000100012205 is 502210001000101.

It can be written as a sum of positive squares in 4 ways, for example, as 8612381918596 + 92387718093609 = 2934686^2 + 9611853^2 .

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 101000100012205 - 2³ = 101000100012197 is a prime.

It is a super-2 number, since 2×101000100012205² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041511792 + ... + 1041608761.

It is an arithmetic number, because the mean of its divisors is an integer number (15151577349519).

Almost surely, 2^{101000100012205} is an apocalyptic number.

It is an amenable number.

101000100012205 is a deficient number, since it is larger than the sum of its proper divisors (20212518783947).

101000100012205 is an equidigital number, since it uses as much as digits as its factorization.

101000100012205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083130255.

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 101000100012205 its reverse (502210001000101), we get a palindrome (603210101012306).

The spelling of 101000100012205 in words is "one hundred one trillion, one hundred million, twelve thousand, two hundred five".