10101101121205 has 8 divisors (see below), whose sum is σ = 12123915279192. Its totient is φ = 8079151607808.

The previous prime is 10101101121179. The next prime is 10101101121229. The reversal of 10101101121205 is 50212110110101.

It can be written as a sum of positive squares in 4 ways, for example, as 4933271883409 + 5167829237796 = 2221097^2 + 2273286^2 .

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 10101101121205 - 2¹⁷ = 10101100990133 is a prime.

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, 216135444 + ... + 216182173.

It is an arithmetic number, because the mean of its divisors is an integer number (1515489409899).

Almost surely, 2^{10101101121205} is an apocalyptic number.

It is an amenable number.

10101101121205 is a deficient number, since it is larger than the sum of its proper divisors (2022814157987).

10101101121205 is an equidigital number, since it uses as much as digits as its factorization.

10101101121205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432322295.

The product of its (nonzero) digits is 20, while the sum is 16.

Adding to 10101101121205 its reverse (50212110110101), we get a palindrome (60313211231306).

The spelling of 10101101121205 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, two hundred five".