1010041214112 has 192 divisors, whose sum is σ = 3396601071360. Its totient is φ = 286029176832.

The previous prime is 1010041214099. The next prime is 1010041214137. The reversal of 1010041214112 is 2114121400101.

1010041214112 is a `hidden beast` number, since 1 + 0 + 100 + 412 + 141 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55533 + ... + 1422380.

It is an arithmetic number, because the mean of its divisors is an integer number (17690630580).

Almost surely, 2^{1010041214112} is an apocalyptic number.

1010041214112 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 1010041214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698300535680).

1010041214112 is an abundant number, since it is smaller than the sum of its proper divisors (2386559857248).

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

1010041214112 is a wasteful number, since it uses less digits than its factorization.

1010041214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478052 (or 1478038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1010041214112 its reverse (2114121400101), we get a palindrome (3124162614213).

The spelling of 1010041214112 in words is "one trillion, ten billion, forty-one million, two hundred fourteen thousand, one hundred twelve".