10221210220122 has 128 divisors (see below), whose sum is σ = 26142259968000. Its totient is φ = 2927633207040.

The previous prime is 10221210220121. The next prime is 10221210220139. The reversal of 10221210220122 is 22102201212201.

It is a happy number.

10221210220122 is a `hidden beast` number, since 1 + 0 + 221 + 210 + 220 + 12 + 2 = 666.

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 = 10221210220095 and 10221210220104.

It is not an unprimeable number, because it can be changed into a prime (10221210220121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3923058 + ... + 5986050.

It is an arithmetic number, because the mean of its divisors is an integer number (204236406000).

Almost surely, 2^{10221210220122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221210220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071129984000).

10221210220122 is an abundant number, since it is smaller than the sum of its proper divisors (15921049747878).

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

10221210220122 is a wasteful number, since it uses less digits than its factorization.

10221210220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063473 (or 2063467 counting only the distinct ones).

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

Adding to 10221210220122 its reverse (22102201212201), we get a palindrome (32323411432323).

The spelling of 10221210220122 in words is "ten trillion, two hundred twenty-one billion, two hundred ten million, two hundred twenty thousand, one hundred twenty-two".