11110101101121 has 32 divisors (see below), whose sum is σ = 16604137450368. Its totient is φ = 6548557155840.

The previous prime is 11110101101053. The next prime is 11110101101171. The reversal of 11110101101121 is 12110110101111.

It is not a de Polignac number, because 11110101101121 - 2¹³ = 11110101092929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11110101101097 and 11110101101106.

It is not an unprimeable number, because it can be changed into a prime (11110101101171) 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 31 ways as a sum of consecutive naturals, for example, 823971 + ... + 4785303.

It is an arithmetic number, because the mean of its divisors is an integer number (518879295324).

Almost surely, 2^{11110101101121} is an apocalyptic number.

11110101101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11110101101121 is a deficient number, since it is larger than the sum of its proper divisors (5494036349247).

11110101101121 is a wasteful number, since it uses less digits than its factorization.

11110101101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963681.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11110101101121 its reverse (12110110101111), we get a palindrome (23220211202232).

The spelling of 11110101101121 in words is "eleven trillion, one hundred ten billion, one hundred one million, one hundred one thousand, one hundred twenty-one".