10101010221200 has 120 divisors (see below), whose sum is σ = 24546406310400. Its totient is φ = 3994135649280.

The previous prime is 10101010221179. The next prime is 10101010221251. The reversal of 10101010221200 is 212201010101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23227361 + ... + 23658239.

It is an arithmetic number, because the mean of its divisors is an integer number (204553385920).

Almost surely, 2^{10101010221200} is an apocalyptic number.

10101010221200 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 10101010221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12273203155200).

10101010221200 is an abundant number, since it is smaller than the sum of its proper divisors (14445396089200).

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

10101010221200 is a wasteful number, since it uses less digits than its factorization.

10101010221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431569 (or 431558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10101010221200 its reverse (212201010101), we get a palindrome (10313211231301).

The spelling of 10101010221200 in words is "ten trillion, one hundred one billion, ten million, two hundred twenty-one thousand, two hundred".