1111012010112 has 128 divisors (see below), whose sum is σ = 2986119457920. Its totient is φ = 365960192000.

The previous prime is 1111012010063. The next prime is 1111012010117. The reversal of 1111012010112 is 2110102101111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1111012010112² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1111012010117) 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 15 ways as a sum of consecutive naturals, for example, 20178973 + ... + 20233955.

It is an arithmetic number, because the mean of its divisors is an integer number (23329058265).

Almost surely, 2^{1111012010112} is an apocalyptic number.

1111012010112 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 1111012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493059728960).

1111012010112 is an abundant number, since it is smaller than the sum of its proper divisors (1875107447808).

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

1111012010112 is a wasteful number, since it uses less digits than its factorization.

1111012010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55622 (or 55610 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1111012010112 its reverse (2110102101111), we get a palindrome (3221114111223).

Subtracting 1111012010112 from its reverse (2110102101111), we obtain a palindrome (999090090999).

The spelling of 1111012010112 in words is "one trillion, one hundred eleven billion, twelve million, ten thousand, one hundred twelve".