10201112121221 has 16 divisors (see below), whose sum is σ = 12391160371200. Its totient is φ = 8203186435248.

The previous prime is 10201112121197. The next prime is 10201112121247. The reversal of 10201112121221 is 12212121110201.

It is not a de Polignac number, because 10201112121221 - 2³⁴ = 10183932252037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10201112121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201112121251) 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, 372316841 + ... + 372344238.

It is an arithmetic number, because the mean of its divisors is an integer number (774447523200).

Almost surely, 2^{10201112121221} is an apocalyptic number.

It is an amenable number.

10201112121221 is a deficient number, since it is larger than the sum of its proper divisors (2190048249979).

10201112121221 is a wasteful number, since it uses less digits than its factorization.

10201112121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744661208.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10201112121221 its reverse (12212121110201), we get a palindrome (22413233231422).

The spelling of 10201112121221 in words is "ten trillion, two hundred one billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty-one".