100401104001 has 16 divisors (see below), whose sum is σ = 146054469888. Its totient is φ = 60842278800.

The previous prime is 100401103969. The next prime is 100401104003.

100401104001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100401104001 - 2⁵ = 100401103969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100401104003) 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, 132670 + ... + 467336.

It is an arithmetic number, because the mean of its divisors is an integer number (9128404368).

Almost surely, 2^100401104001 is an apocalyptic number.

100401104001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100401104001 is a deficient number, since it is larger than the sum of its proper divisors (45653365887).

100401104001 is a wasteful number, since it uses less digits than its factorization.

100401104001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343772.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 100401 and 104001, that added together give a palindrome (204402).

The spelling of 100401104001 in words is "one hundred billion, four hundred one million, one hundred four thousand, one".