10111022012241 has 6 divisors (see below), whose sum is σ = 14604809573250. Its totient is φ = 6740681341488.

The previous prime is 10111022012219. The next prime is 10111022012279. The reversal of 10111022012241 is 14221022011101.

It can be written as a sum of positive squares in only one way, i.e., 5750025122241 + 4360996890000 = 2397921^2 + 2088300^2 .

It is not a de Polignac number, because 10111022012241 - 2¹⁵ = 10111021979473 is a prime.

It is a super-2 number, since 2×10111022012241² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111022082241) 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 5 ways as a sum of consecutive naturals, for example, 561723445116 + ... + 561723445133.

It is an arithmetic number, because the mean of its divisors is an integer number (2434134928875).

Almost surely, 2^{10111022012241} is an apocalyptic number.

It is an amenable number.

10111022012241 is a deficient number, since it is larger than the sum of its proper divisors (4493787561009).

10111022012241 is a wasteful number, since it uses less digits than its factorization.

10111022012241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123446890255 (or 1123446890252 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10111022012241 its reverse (14221022011101), we get a palindrome (24332044023342).

The spelling of 10111022012241 in words is "ten trillion, one hundred eleven billion, twenty-two million, twelve thousand, two hundred forty-one".