1004121340100 has 36 divisors (see below), whose sum is σ = 2179824938004. Its totient is φ = 401486023680.

The previous prime is 1004121340069. The next prime is 1004121340127. The reversal of 1004121340100 is 10431214001.

It is a happy number.

1004121340100 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 6 ways, for example, as 110351524864 + 893769815236 = 332192^2 + 945394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1782869 + ... + 2277468.

Almost surely, 2^{1004121340100} is an apocalyptic number.

1004121340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004121340100 is an abundant number, since it is smaller than the sum of its proper divisors (1175703597904).

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

1004121340100 is a wasteful number, since it uses less digits than its factorization.

1004121340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062824 (or 4062817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1004121340100 its reverse (10431214001), we get a palindrome (1014552554101).

The spelling of 1004121340100 in words is "one trillion, four billion, one hundred twenty-one million, three hundred forty thousand, one hundred".