10212222332100 has 288 divisors, whose sum is σ = 31209952435200. Its totient is φ = 2571031411200.

The previous prime is 10212222332047. The next prime is 10212222332107. The reversal of 10212222332100 is 123322221201.

10212222332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10212222332107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2540983891 + ... + 2540987909.

It is an arithmetic number, because the mean of its divisors is an integer number (108367890400).

Almost surely, 2^{10212222332100} is an apocalyptic number.

10212222332100 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 10212222332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604976217600).

10212222332100 is an abundant number, since it is smaller than the sum of its proper divisors (20997730103100).

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

10212222332100 is a wasteful number, since it uses less digits than its factorization.

10212222332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10212222332100 its reverse (123322221201), we get a palindrome (10335544553301).

The spelling of 10212222332100 in words is "ten trillion, two hundred twelve billion, two hundred twenty-two million, three hundred thirty-two thousand, one hundred".