10201122111221 has 4 divisors (see below), whose sum is σ = 10201155626592. Its totient is φ = 10201088595852.

The previous prime is 10201122111203. The next prime is 10201122111239. The reversal of 10201122111221 is 12211122110201.

10201122111221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (10201122111203) and next prime (10201122111239).

It is a cyclic number.

It is not a de Polignac number, because 10201122111221 - 2¹⁰ = 10201122110197 is a prime.

It is a super-2 number, since 2×10201122111221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10201122111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201122111821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16296905 + ... + 16911278.

It is an arithmetic number, because the mean of its divisors is an integer number (2550288906648).

Almost surely, 2^{10201122111221} is an apocalyptic number.

It is an amenable number.

10201122111221 is a deficient number, since it is larger than the sum of its proper divisors (33515371).

10201122111221 is an equidigital number, since it uses as much as digits as its factorization.

10201122111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33515370.

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

Adding to 10201122111221 its reverse (12211122110201), we get a palindrome (22412244221422).

It can be divided in two parts, 10201 and 122111221, that multiplied together give a palindrome (1245656565421).

The spelling of 10201122111221 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".