10201201011121 has 16 divisors (see below), whose sum is σ = 10984192658640. Its totient is φ = 9438701690880.

The previous prime is 10201201011097. The next prime is 10201201011139. The reversal of 10201201011121 is 12111010210201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 250400160000 + 9950800851121 = 500400^2 + 3154489^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201201011121 - 2⁷ = 10201201010993 is a prime.

It is a super-2 number, since 2×10201201011121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10201201011721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674016 + ... + 4566913.

It is an arithmetic number, because the mean of its divisors is an integer number (686512041165).

Almost surely, 2^{10201201011121} is an apocalyptic number.

It is an amenable number.

10201201011121 is a deficient number, since it is larger than the sum of its proper divisors (782991647519).

10201201011121 is a wasteful number, since it uses less digits than its factorization.

10201201011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242884.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10201201011121 its reverse (12111010210201), we get a palindrome (22312211221322).

The spelling of 10201201011121 in words is "ten trillion, two hundred one billion, two hundred one million, eleven thousand, one hundred twenty-one".