101211111121 has 8 divisors (see below), whose sum is σ = 102996796104. Its totient is φ = 99436216320.

The previous prime is 101211111119. The next prime is 101211111137. The reversal of 101211111121 is 121111112101.

It can be written as a sum of positive squares in 4 ways, for example, as 33805970496 + 67405140625 = 183864^2 + 259625^2 .

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 101211111121 - 2¹ = 101211111119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101211111181) 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, 2678620 + ... + 2716141.

It is an arithmetic number, because the mean of its divisors is an integer number (12874599513).

Almost surely, 2^101211111121 is an apocalyptic number.

It is an amenable number.

101211111121 is a deficient number, since it is larger than the sum of its proper divisors (1785684983).

101211111121 is an equidigital number, since it uses as much as digits as its factorization.

101211111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395091.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101211111121 its reverse (121111112101), we get a palindrome (222322223222).

The spelling of 101211111121 in words is "one hundred one billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-one".