11042120210401 has 24 divisors (see below), whose sum is σ = 13004055734760. Its totient is φ = 9347655727872.

The previous prime is 11042120210377. The next prime is 11042120210441. The reversal of 11042120210401 is 10401202124011.

It is a happy number.

11042120210401 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 4 ways, for example, as 2997749422801 + 8044370787600 = 1731401^2 + 2836260^2 .

It is not a de Polignac number, because 11042120210401 - 2⁹ = 11042120209889 is a prime.

It is a super-3 number, since 3×11042120210401³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11042120210441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2381031 + ... + 5268163.

It is an arithmetic number, because the mean of its divisors is an integer number (541835655615).

Almost surely, 2^{11042120210401} is an apocalyptic number.

It is an amenable number.

11042120210401 is a deficient number, since it is larger than the sum of its proper divisors (1961935524359).

11042120210401 is an equidigital number, since it uses as much as digits as its factorization.

11042120210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888113 (or 2888106 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11042120210401 its reverse (10401202124011), we get a palindrome (21443322334412).

The spelling of 11042120210401 in words is "eleven trillion, forty-two billion, one hundred twenty million, two hundred ten thousand, four hundred one".