1010041334401 has 32 divisors (see below), whose sum is σ = 1115986636800. Its totient is φ = 906537367680.

The previous prime is 1010041334387. The next prime is 1010041334453. The reversal of 1010041334401 is 1044331400101.

It is a happy number.

1010041334401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1010041334401 - 2⁵ = 1010041334369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010041334101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423851656 + ... + 423854038.

It is an arithmetic number, because the mean of its divisors is an integer number (34874582400).

Almost surely, 2^{1010041334401} is an apocalyptic number.

1010041334401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010041334401 is a deficient number, since it is larger than the sum of its proper divisors (105945302399).

1010041334401 is a wasteful number, since it uses less digits than its factorization.

1010041334401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1010041334401 its reverse (1044331400101), we get a palindrome (2054372734502).

The spelling of 1010041334401 in words is "one trillion, ten billion, forty-one million, three hundred thirty-four thousand, four hundred one".