1010442041112 has 256 divisors, whose sum is σ = 3082496901120. Its totient is φ = 269918438400.

The previous prime is 1010442041093. The next prime is 1010442041131. The reversal of 1010442041112 is 2111402440101.

1010442041112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010442041093) and next prime (1010442041131).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21970413 + ... + 22016355.

It is an arithmetic number, because the mean of its divisors is an integer number (12041003520).

Almost surely, 2^{1010442041112} is an apocalyptic number.

1010442041112 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 1010442041112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541248450560).

1010442041112 is an abundant number, since it is smaller than the sum of its proper divisors (2072054860008).

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

1010442041112 is a wasteful number, since it uses less digits than its factorization.

1010442041112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46134 (or 46130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1010442041112 its reverse (2111402440101), we get a palindrome (3121844481213).

The spelling of 1010442041112 in words is "one trillion, ten billion, four hundred forty-two million, forty-one thousand, one hundred twelve".