10202222110121 has 16 divisors (see below), whose sum is σ = 10346198979600. Its totient is φ = 10059201589248.

The previous prime is 10202222110117. The next prime is 10202222110139. The reversal of 10202222110121 is 12101122220201.

10202222110121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 887243428096 + 9314978682025 = 941936^2 + 3052045^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202222110121 - 2² = 10202222110117 is a prime.

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 10202222110121.

It is not an unprimeable number, because it can be changed into a prime (10202222119121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182712635 + ... + 182768463.

It is an arithmetic number, because the mean of its divisors is an integer number (646637436225).

Almost surely, 2^{10202222110121} is an apocalyptic number.

It is an amenable number.

10202222110121 is a deficient number, since it is larger than the sum of its proper divisors (143976869479).

10202222110121 is a wasteful number, since it uses less digits than its factorization.

10202222110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64348.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10202222110121 its reverse (12101122220201), we get a palindrome (22303344330322).

The spelling of 10202222110121 in words is "ten trillion, two hundred two billion, two hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".