10220210222121 has 40 divisors (see below), whose sum is σ = 15303979623240. Its totient is φ = 6797086762752.

The previous prime is 10220210222051. The next prime is 10220210222141. The reversal of 10220210222121 is 12122201202201.

It is a happy number.

10220210222121 is a `hidden beast` number, since 1 + 0 + 220 + 210 + 22 + 212 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222440516496 + 9997769705625 = 471636^2 + 3161925^2 .

It is not a de Polignac number, because 10220210222121 - 2⁹ = 10220210221609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10220210222094 and 10220210222103.

It is not an unprimeable number, because it can be changed into a prime (10220210222141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74690515 + ... + 74827223.

It is an arithmetic number, because the mean of its divisors is an integer number (382599490581).

Almost surely, 2^{10220210222121} is an apocalyptic number.

It is an amenable number.

10220210222121 is a deficient number, since it is larger than the sum of its proper divisors (5083769401119).

10220210222121 is a wasteful number, since it uses less digits than its factorization.

10220210222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138935 (or 138926 counting only the distinct ones).

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

Adding to 10220210222121 its reverse (12122201202201), we get a palindrome (22342411424322).

The spelling of 10220210222121 in words is "ten trillion, two hundred twenty billion, two hundred ten million, two hundred twenty-two thousand, one hundred twenty-one".