101201122211 has 8 divisors (see below), whose sum is σ = 115664766720. Its totient is φ = 86739063048.

The previous prime is 101201122189. The next prime is 101201122273. The reversal of 101201122211 is 112221102101.

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 101201122211 - 2¹⁸ = 101200860067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201122291) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 256241 + ... + 517746.

It is an arithmetic number, because the mean of its divisors is an integer number (14458095840).

Almost surely, 2^101201122211 is an apocalyptic number.

101201122211 is a deficient number, since it is larger than the sum of its proper divisors (14463644509).

101201122211 is an equidigital number, since it uses as much as digits as its factorization.

101201122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792673.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101201122211 its reverse (112221102101), we get a palindrome (213422224312).

The spelling of 101201122211 in words is "one hundred one billion, two hundred one million, one hundred twenty-two thousand, two hundred eleven".