1035104221000 has 256 divisors, whose sum is σ = 2539086264000. Its totient is φ = 394465075200.

The previous prime is 1035104220967. The next prime is 1035104221007. The reversal of 1035104221000 is 1224015301.

It can be written as a sum of positive squares in 32 ways, for example, as 209103169284 + 826001051716 = 457278^2 + 908846^2 .

It is not an unprimeable number, because it can be changed into a prime (1035104221007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1002036484 + ... + 1002037516.

Almost surely, 2^{1035104221000} is an apocalyptic number.

1035104221000 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 1035104221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269543132000).

1035104221000 is an abundant number, since it is smaller than the sum of its proper divisors (1503982043000).

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

1035104221000 is a wasteful number, since it uses less digits than its factorization.

1035104221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 1035104221000 its reverse (1224015301), we get a palindrome (1036328236301).

The spelling of 1035104221000 in words is "one trillion, thirty-five billion, one hundred four million, two hundred twenty-one thousand".