10401100110401 has 16 divisors (see below), whose sum is σ = 13965113436288. Its totient is φ = 7481310768000.

The previous prime is 10401100110319. The next prime is 10401100110491.

10401100110401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10401100110401 - 2²² = 10401095916097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10401100110491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5195353700 + ... + 5195355701.

It is an arithmetic number, because the mean of its divisors is an integer number (872819589768).

Almost surely, 2^{10401100110401} is an apocalyptic number.

10401100110401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10401100110401 is a deficient number, since it is larger than the sum of its proper divisors (3564013325887).

10401100110401 is a wasteful number, since it uses less digits than its factorization.

10401100110401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10390709432.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 10401100 and 110401, that added together give a palindrome (10511501).

The spelling of 10401100110401 in words is "ten trillion, four hundred one billion, one hundred million, one hundred ten thousand, four hundred one".