10221210120100 has 108 divisors (see below), whose sum is σ = 25803249994116. Its totient is φ = 3504143892480.

The previous prime is 10221210120073. The next prime is 10221210120113. The reversal of 10221210120100 is 102101212201.

It can be written as a sum of positive squares in 6 ways, for example, as 830037612096 + 9391172508004 = 911064^2 + 3064502^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69393732 + ... + 69540868.

It is an arithmetic number, because the mean of its divisors is an integer number (238918981427).

Almost surely, 2^{10221210120100} is an apocalyptic number.

10221210120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221210120100 is an abundant number, since it is smaller than the sum of its proper divisors (15582039874016).

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

10221210120100 is a wasteful number, since it uses less digits than its factorization.

10221210120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161342 (or 161328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221210120100 its reverse (102101212201), we get a palindrome (10323311332301).

It can be divided in two parts, 102212101 and 20100, that added together give a palindrome (102232201).

The spelling of 10221210120100 in words is "ten trillion, two hundred twenty-one billion, two hundred ten million, one hundred twenty thousand, one hundred".