1042180100000 has 144 divisors (see below), whose sum is σ = 2761854464376. Its totient is φ = 384804480000.

The previous prime is 1042180099999. The next prime is 1042180100011. The reversal of 1042180100000 is 10812401.

1042180100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 593596284304 + 448583815696 = 770452^2 + 669764^2 .

It is a super-2 number, since 2×1042180100000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 899162 + ... + 1700838.

Almost surely, 2^{1042180100000} is an apocalyptic number.

1042180100000 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 1042180100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380927232188).

1042180100000 is an abundant number, since it is smaller than the sum of its proper divisors (1719674364376).

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

1042180100000 is an frugal number, since it uses more digits than its factorization.

1042180100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801725 (or 801697 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1042180100000 its reverse (10812401), we get a palindrome (1042190912401).

The spelling of 1042180100000 in words is "one trillion, forty-two billion, one hundred eighty million, one hundred thousand".