101111101121 has 4 divisors (see below), whose sum is σ = 102496184772. Its totient is φ = 99726017472.

The previous prime is 101111101109. The next prime is 101111101123. The reversal of 101111101121 is 121101111101.

It is a happy number.

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 85168250896 + 15942850225 = 291836^2 + 126265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111101121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 692541716 + ... + 692541861.

It is an arithmetic number, because the mean of its divisors is an integer number (25624046193).

Almost surely, 2^101111101121 is an apocalyptic number.

It is an amenable number.

101111101121 is a deficient number, since it is larger than the sum of its proper divisors (1385083651).

101111101121 is an equidigital number, since it uses as much as digits as its factorization.

101111101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385083650.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101111101121 its reverse (121101111101), we get a palindrome (222212212222).

It can be divided in two parts, 101111101 and 121, that multiplied together give a palindrome (12234443221).

The spelling of 101111101121 in words is "one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred twenty-one".