1042101312000 has 640 divisors, whose sum is σ = 4096381386240. Its totient is φ = 229972377600.

The previous prime is 1042101311963. The next prime is 1042101312023. The reversal of 1042101312000 is 2131012401.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38962632 + ... + 38989368.

It is an arithmetic number, because the mean of its divisors is an integer number (6400595916).

Almost surely, 2^{1042101312000} is an apocalyptic number.

1042101312000 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 1042101312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048190693120).

1042101312000 is an abundant number, since it is smaller than the sum of its proper divisors (3054280074240).

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

1042101312000 is an equidigital number, since it uses as much as digits as its factorization.

1042101312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26809 (or 26783 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1042101312000 its reverse (2131012401), we get a palindrome (1044232324401).

The spelling of 1042101312000 in words is "one trillion, forty-two billion, one hundred one million, three hundred twelve thousand".