401212101212104 has 256 divisors, whose sum is σ = 940182007564800. Its totient is φ = 156286900224000.

The previous prime is 401212101212071. The next prime is 401212101212129.

401212101212104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401212101212104² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22170079984 + ... + 22170098080.

It is an arithmetic number, because the mean of its divisors is an integer number (3672585967050).

Almost surely, 2^{401212101212104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401212101212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470091003782400).

401212101212104 is an abundant number, since it is smaller than the sum of its proper divisors (538969906352696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401212101212104 is a wasteful number, since it uses less digits than its factorization.

401212101212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19864 (or 19860 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 40121210 and 1212104, that added together give a palindrome (41333314).

The spelling of 401212101212104 in words is "four hundred one trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, one hundred four".