111110101101012 has 384 divisors, whose sum is σ = 297660690432000. Its totient is φ = 31976854880256.

The previous prime is 111110101101011. The next prime is 111110101101017. The reversal of 111110101101012 is 210101101011111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111110101101011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46431298888 + ... + 46431301280.

It is an arithmetic number, because the mean of its divisors is an integer number (775158048000).

Almost surely, 2^{111110101101012} is an apocalyptic number.

111110101101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111110101101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148830345216000).

111110101101012 is an abundant number, since it is smaller than the sum of its proper divisors (186550589330988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111110101101012 is a wasteful number, since it uses less digits than its factorization.

111110101101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3205 counting only the distinct ones).

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

Adding to 111110101101012 its reverse (210101101011111), we get a palindrome (321211202112123).

The spelling of 111110101101012 in words is "one hundred eleven trillion, one hundred ten billion, one hundred one million, one hundred one thousand, twelve".