10202122122121 has 16 divisors (see below), whose sum is σ = 11065968582480. Its totient is φ = 9367588741120.

The previous prime is 10202122122103. The next prime is 10202122122187. The reversal of 10202122122121 is 12122122120201.

It can be written as a sum of positive squares in 8 ways, for example, as 256708408896 + 9945413713225 = 506664^2 + 3153635^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202122122121 - 2¹⁷ = 10202121991049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202122122191) 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, 36087165 + ... + 36368773.

It is an arithmetic number, because the mean of its divisors is an integer number (691623036405).

Almost surely, 2^{10202122122121} is an apocalyptic number.

It is an amenable number.

10202122122121 is a deficient number, since it is larger than the sum of its proper divisors (863846460359).

10202122122121 is a wasteful number, since it uses less digits than its factorization.

10202122122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333644.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10202122122121 its reverse (12122122120201), we get a palindrome (22324244242322).

The spelling of 10202122122121 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".