10222121220100 has 72 divisors (see below), whose sum is σ = 22608644469768. Its totient is φ = 4010260300800.

The previous prime is 10222121220071. The next prime is 10222121220121. The reversal of 10222121220100 is 102212122201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 38146777344 + 10183974442756 = 195312^2 + 3191234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14479320 + ... + 15168880.

It is an arithmetic number, because the mean of its divisors is an integer number (314008950969).

Almost surely, 2^{10222121220100} is an apocalyptic number.

10222121220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222121220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304322234884).

10222121220100 is an abundant number, since it is smaller than the sum of its proper divisors (12386523249668).

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

10222121220100 is a wasteful number, since it uses less digits than its factorization.

10222121220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692425 (or 692418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10222121220100 its reverse (102212122201), we get a palindrome (10324333342301).

The spelling of 10222121220100 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".