111001011012 has 288 divisors, whose sum is σ = 321073683840. Its totient is φ = 33386618880.

The previous prime is 111001010959. The next prime is 111001011041. The reversal of 111001011012 is 210110100111.

It is a super-2 number, since 2×111001011012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111001010985 and 111001011003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39970168 + ... + 39972944.

It is an arithmetic number, because the mean of its divisors is an integer number (1114839180).

Almost surely, 2^111001011012 is an apocalyptic number.

111001011012 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 111001011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160536841920).

111001011012 is an abundant number, since it is smaller than the sum of its proper divisors (210072672828).

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

111001011012 is a wasteful number, since it uses less digits than its factorization.

111001011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111001011012 its reverse (210110100111), we get a palindrome (321111111123).

The spelling of 111001011012 in words is "one hundred eleven billion, one million, eleven thousand, twelve".