104121121401 has 24 divisors (see below), whose sum is σ = 164094696480. Its totient is φ = 63094075200.

The previous prime is 104121121397. The next prime is 104121121411.

104121121401 is a `hidden beast` number, since 1 + 0 + 412 + 112 + 140 + 1 = 666.

104121121401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104121121401 - 2² = 104121121397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104121121411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600390 + ... + 754128.

It is an arithmetic number, because the mean of its divisors is an integer number (6837279020).

Almost surely, 2^104121121401 is an apocalyptic number.

104121121401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104121121401 is a deficient number, since it is larger than the sum of its proper divisors (59973575079).

104121121401 is a wasteful number, since it uses less digits than its factorization.

104121121401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160597 (or 160594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 104121 and 121401, that added together give a palindrome (225522).

The spelling of 104121121401 in words is "one hundred four billion, one hundred twenty-one million, one hundred twenty-one thousand, four hundred one".