101101121200111 has 8 divisors (see below), whose sum is σ = 101361437377200. Its totient is φ = 100840807157760.

The previous prime is 101101121200103. The next prime is 101101121200213. The reversal of 101101121200111 is 111002121101101.

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 101101121200111 - 2³ = 101101121200103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101121200091 and 101101121200100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101121000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146031855 + ... + 146722543.

It is an arithmetic number, because the mean of its divisors is an integer number (12670179672150).

Almost surely, 2^{101101121200111} is an apocalyptic number.

101101121200111 is a deficient number, since it is larger than the sum of its proper divisors (260316177089).

101101121200111 is an equidigital number, since it uses as much as digits as its factorization.

101101121200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067369.

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

Adding to 101101121200111 its reverse (111002121101101), we get a palindrome (212103242301212).

The spelling of 101101121200111 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, two hundred thousand, one hundred eleven".