10011212314441 has 6 divisors (see below), whose sum is σ = 10840543512270. Its totient is φ = 9241119059328.

The previous prime is 10011212314429. The next prime is 10011212314553. The reversal of 10011212314441 is 14441321211001.

10011212314441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 669655805625 + 9341556508816 = 818325^2 + 3056396^2 .

It is not a de Polignac number, because 10011212314441 - 2³⁵ = 9976852576073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011212314241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29618971176 + ... + 29618971513.

It is an arithmetic number, because the mean of its divisors is an integer number (1806757252045).

Almost surely, 2^{10011212314441} is an apocalyptic number.

It is an amenable number.

10011212314441 is a deficient number, since it is larger than the sum of its proper divisors (829331197829).

10011212314441 is an equidigital number, since it uses as much as digits as its factorization.

10011212314441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59237942715 (or 59237942702 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10011212314441 its reverse (14441321211001), we get a palindrome (24452533525442).

The spelling of 10011212314441 in words is "ten trillion, eleven billion, two hundred twelve million, three hundred fourteen thousand, four hundred forty-one".