1102104042400 has 144 divisors (see below), whose sum is σ = 2757178326168. Its totient is φ = 429926400000.

The previous prime is 1102104042397. The next prime is 1102104042427. The reversal of 1102104042400 is 42404012011.

It can be written as a sum of positive squares in 12 ways, for example, as 35998231824 + 1066105810576 = 189732^2 + 1032524^2 .

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, 122437900 + ... + 122446900.

Almost surely, 2^{1102104042400} is an apocalyptic number.

1102104042400 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 1102104042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378589163084).

1102104042400 is an abundant number, since it is smaller than the sum of its proper divisors (1655074283768).

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

1102104042400 is a wasteful number, since it uses less digits than its factorization.

1102104042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12795 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1102104042400 its reverse (42404012011), we get a palindrome (1144508054411).

The spelling of 1102104042400 in words is "one trillion, one hundred two billion, one hundred four million, forty-two thousand, four hundred".