10220211202122 has 48 divisors (see below), whose sum is σ = 22397926678920. Its totient is φ = 3367744512000.

The previous prime is 10220211202121. The next prime is 10220211202139. The reversal of 10220211202122 is 22120211202201.

It is a happy number.

10220211202122 is a `hidden beast` number, since 1 + 0 + 220 + 211 + 20 + 212 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9780749601561 + 439461600561 = 3127419^2 + 662919^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10220211202095 and 10220211202104.

It is not an unprimeable number, because it can be changed into a prime (10220211202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3219747 + ... + 5550422.

Almost surely, 2^{10220211202122} is an apocalyptic number.

10220211202122 is an abundant number, since it is smaller than the sum of its proper divisors (12177715476798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10220211202122 is a wasteful number, since it uses less digits than its factorization.

10220211202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8770919 (or 8770916 counting only the distinct ones).

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

Adding to 10220211202122 its reverse (22120211202201), we get a palindrome (32340422404323).

The spelling of 10220211202122 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, two hundred two thousand, one hundred twenty-two".