111101012012101 has 8 divisors (see below), whose sum is σ = 111346620819840. Its totient is φ = 110855427557952.

The previous prime is 111101012012087. The next prime is 111101012012167. The reversal of 111101012012101 is 101210210101111.

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 111101012012101 - 2¹⁹ = 111101011487813 is a prime.

It is a super-2 number, since 2×111101012012101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101012012191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3060861 + ... + 15217453.

It is an arithmetic number, because the mean of its divisors is an integer number (13918327602480).

Almost surely, 2^{111101012012101} is an apocalyptic number.

It is an amenable number.

111101012012101 is a deficient number, since it is larger than the sum of its proper divisors (245608807739).

111101012012101 is a wasteful number, since it uses less digits than its factorization.

111101012012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12176795.

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

Adding to 111101012012101 its reverse (101210210101111), we get a palindrome (212311222113212).

The spelling of 111101012012101 in words is "one hundred eleven trillion, one hundred one billion, twelve million, twelve thousand, one hundred one".