10042311042401 has 16 divisors (see below), whose sum is σ = 11333553393600. Its totient is φ = 8814149400000.

The previous prime is 10042311042397. The next prime is 10042311042427. The reversal of 10042311042401 is 10424011324001.

It is a cyclic number.

It is not a de Polignac number, because 10042311042401 - 2² = 10042311042397 is a prime.

It is a super-2 number, since 2×10042311042401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042311047401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6083651 + ... + 7556151.

It is an arithmetic number, because the mean of its divisors is an integer number (708347087100).

Almost surely, 2^{10042311042401} is an apocalyptic number.

10042311042401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10042311042401 is a deficient number, since it is larger than the sum of its proper divisors (1291242351199).

10042311042401 is a wasteful number, since it uses less digits than its factorization.

10042311042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493920.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10042311042401 its reverse (10424011324001), we get a palindrome (20466322366402).

The spelling of 10042311042401 in words is "ten trillion, forty-two billion, three hundred eleven million, forty-two thousand, four hundred one".