101111011112201 has 4 divisors (see below), whose sum is σ = 101470836774804. Its totient is φ = 100751185449600.

The previous prime is 101111011112179. The next prime is 101111011112231. The reversal of 101111011112201 is 102211110111101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 88926031603600 + 12184979508601 = 9430060^2 + 3490699^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111011112201 - 2¹⁰ = 101111011111177 is a prime.

It is a super-4 number, since 4×101111011112201⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111011112231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179912830880 + ... + 179912831441.

It is an arithmetic number, because the mean of its divisors is an integer number (25367709193701).

Almost surely, 2^{101111011112201} is an apocalyptic number.

It is an amenable number.

101111011112201 is a deficient number, since it is larger than the sum of its proper divisors (359825662603).

101111011112201 is an equidigital number, since it uses as much as digits as its factorization.

101111011112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359825662602.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101111011112201 its reverse (102211110111101), we get a palindrome (203322121223302).

The spelling of 101111011112201 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one hundred twelve thousand, two hundred one".