10202122202121 has 48 divisors (see below), whose sum is σ = 15419693966976. Its totient is φ = 6487710501888.

The previous prime is 10202122202119. The next prime is 10202122202219. The reversal of 10202122202121 is 12120222120201.

It is a happy number.

10202122202121 is a `hidden beast` number, since 1 + 0 + 20 + 212 + 220 + 212 + 1 = 666.

It is not a de Polignac number, because 10202122202121 - 2¹ = 10202122202119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202122202094 and 10202122202103.

It is not an unprimeable number, because it can be changed into a prime (10202122202101) 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 47 ways as a sum of consecutive naturals, for example, 109591231 + ... + 109684283.

It is an arithmetic number, because the mean of its divisors is an integer number (321243624312).

Almost surely, 2^{10202122202121} is an apocalyptic number.

It is an amenable number.

10202122202121 is a deficient number, since it is larger than the sum of its proper divisors (5217571764855).

10202122202121 is a wasteful number, since it uses less digits than its factorization.

10202122202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94542 (or 94539 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202122202121 its reverse (12120222120201), we get a palindrome (22322344322322).

The spelling of 10202122202121 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-one".