10241122114201 has 16 divisors (see below), whose sum is σ = 11557787371200. Its totient is φ = 8988755227200.

The previous prime is 10241122114199. The next prime is 10241122114219.

10241122114201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10241122114201 - 2¹ = 10241122114199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10241122117201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8717431 + ... + 9822211.

It is an arithmetic number, because the mean of its divisors is an integer number (722361710700).

Almost surely, 2^{10241122114201} is an apocalyptic number.

10241122114201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10241122114201 is a deficient number, since it is larger than the sum of its proper divisors (1316665256999).

10241122114201 is a wasteful number, since it uses less digits than its factorization.

10241122114201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133880.

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

It can be divided in two parts, 1024112 and 2114201, that added together give a palindrome (3138313).

The spelling of 10241122114201 in words is "ten trillion, two hundred forty-one billion, one hundred twenty-two million, one hundred fourteen thousand, two hundred one".