4122100400105 has 8 divisors (see below), whose sum is σ = 4950598410312. Its totient is φ = 3294961699968.

The previous prime is 4122100400101. The next prime is 4122100400147. The reversal of 4122100400105 is 5010040012214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 300970737664 + 3821129662441 = 548608^2 + 1954771^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4122100400105 - 2² = 4122100400101 is a prime.

It is a super-2 number, since 2×4122100400105² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4122100400101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339820844 + ... + 339832973.

It is an arithmetic number, because the mean of its divisors is an integer number (618824801289).

Almost surely, 2^{4122100400105} is an apocalyptic number.

It is an amenable number.

4122100400105 is a deficient number, since it is larger than the sum of its proper divisors (828498010207).

4122100400105 is a wasteful number, since it uses less digits than its factorization.

4122100400105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679655035.

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 4122100400105 its reverse (5010040012214), we get a palindrome (9132140412319).

The spelling of 4122100400105 in words is "four trillion, one hundred twenty-two billion, one hundred million, four hundred thousand, one hundred five".