101111110121 has 16 divisors (see below), whose sum is σ = 116920609920. Its totient is φ = 85643986560.

The previous prime is 101111110097. The next prime is 101111110127. The reversal of 101111110121 is 121011111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101111110121 - 2¹⁰ = 101111109097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111110127) 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 15 ways as a sum of consecutive naturals, for example, 1067891 + ... + 1158711.

It is an arithmetic number, because the mean of its divisors is an integer number (7307538120).

Almost surely, 2^101111110121 is an apocalyptic number.

It is an amenable number.

101111110121 is a deficient number, since it is larger than the sum of its proper divisors (15809499799).

101111110121 is an equidigital number, since it uses as much as digits as its factorization.

101111110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92704.

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

Adding to 101111110121 its reverse (121011111101), we get a palindrome (222122221222).

The spelling of 101111110121 in words is "one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred twenty-one".