111012012101 has 32 divisors (see below), whose sum is σ = 120131128320. Its totient is φ = 102266841600.

The previous prime is 111012012077. The next prime is 111012012109. The reversal of 111012012101 is 101210210111.

It is a cyclic number.

It is not a de Polignac number, because 111012012101 - 2¹⁸ = 111011749957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111012012109) 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, 60628256 + ... + 60630086.

It is an arithmetic number, because the mean of its divisors is an integer number (3754097760).

Almost surely, 2^111012012101 is an apocalyptic number.

It is an amenable number.

111012012101 is a deficient number, since it is larger than the sum of its proper divisors (9119116219).

111012012101 is a wasteful number, since it uses less digits than its factorization.

111012012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111012012101 its reverse (101210210111), we get a palindrome (212222222212).

It can be divided in two parts, 11101 and 2012101, that added together give a palindrome (2023202).

The spelling of 111012012101 in words is "one hundred eleven billion, twelve million, twelve thousand, one hundred one".