1011042000000 has 840 divisors, whose sum is σ = 3809217940605. Its totient is φ = 266198400000.

The previous prime is 1011041999987. The next prime is 1011042000013. The reversal of 1011042000000 is 2401101.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1011041999987) and next prime (1011042000013).

It can be written as a sum of positive squares in 4 ways, for example, as 172410970176 + 838631029824 = 415224^2 + 915768^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=711000.

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

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 104 ways as a sum of consecutive naturals, for example, 12797999961 + ... + 12798000039.

Almost surely, 2^{1011042000000} is an apocalyptic number.

1011042000000 is a gapful number since it is divisible by the number (10) 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 1011042000000

1011042000000 is an abundant number, since it is smaller than the sum of its proper divisors (2798175940605).

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

1011042000000 is an frugal number, since it uses more digits than its factorization.

1011042000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1011042000000 its reverse (2401101), we get a palindrome (1011044401101).

The spelling of 1011042000000 in words is "one trillion, eleven billion, forty-two million", and thus it is an aban number and an uban number.