104212212401 has 16 divisors (see below), whose sum is σ = 117451516416. Its totient is φ = 91605600000.

The previous prime is 104212212361. The next prime is 104212212409.

104212212401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-104212212401 is a prime.

It is a super-2 number, since 2×104212212401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104212212409) 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, 282311 + ... + 536771.

It is an arithmetic number, because the mean of its divisors is an integer number (7340719776).

Almost surely, 2^104212212401 is an apocalyptic number.

104212212401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104212212401 is a deficient number, since it is larger than the sum of its proper divisors (13239304015).

104212212401 is a wasteful number, since it uses less digits than its factorization.

104212212401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255704.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 104212 and 212401, that added together give a palindrome (316613).

The spelling of 104212212401 in words is "one hundred four billion, two hundred twelve million, two hundred twelve thousand, four hundred one".