10000021222200 has 576 divisors, whose sum is σ = 33007839863040. Its totient is φ = 2503806525440.

The previous prime is 10000021222181. The next prime is 10000021222229. The reversal of 10000021222200 is 222212000001.

10000021222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4399480264 + ... + 4399482536.

It is an arithmetic number, because the mean of its divisors is an integer number (57305277540).

Almost surely, 2^{10000021222200} is an apocalyptic number.

10000021222200 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 10000021222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16503919931520).

10000021222200 is an abundant number, since it is smaller than the sum of its proper divisors (23007818640840).

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

10000021222200 is a wasteful number, since it uses less digits than its factorization.

10000021222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10000021222200 its reverse (222212000001), we get a palindrome (10222233222201).

The spelling of 10000021222200 in words is "ten trillion, twenty-one million, two hundred twenty-two thousand, two hundred".