101211101105 has 8 divisors (see below), whose sum is σ = 124735843752. Its totient is φ = 78780532608.

The previous prime is 101211101059. The next prime is 101211101107. The reversal of 101211101105 is 501101112101.

It can be written as a sum of positive squares in 4 ways, for example, as 3159451681 + 98051649424 = 56209^2 + 313132^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101211101105 - 2⁶ = 101211101041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101211101105.

It is not an unprimeable number, because it can be changed into a prime (101211101107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273543332 + ... + 273543701.

It is an arithmetic number, because the mean of its divisors is an integer number (15591980469).

Almost surely, 2^101211101105 is an apocalyptic number.

It is an amenable number.

101211101105 is a deficient number, since it is larger than the sum of its proper divisors (23524742647).

101211101105 is an equidigital number, since it uses as much as digits as its factorization.

101211101105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547087075.

The product of its (nonzero) digits is 10, while the sum is 14.

Adding to 101211101105 its reverse (501101112101), we get a palindrome (602312213206).

The spelling of 101211101105 in words is "one hundred one billion, two hundred eleven million, one hundred one thousand, one hundred five".