10010000221100 has 288 divisors, whose sum is σ = 25762561090560. Its totient is φ = 3336982272000.

The previous prime is 10010000221061. The next prime is 10010000221103. The reversal of 10010000221100 is 112200001001.

It is not an unprimeable number, because it can be changed into a prime (10010000221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80800205 + ... + 80923995.

It is an arithmetic number, because the mean of its divisors is an integer number (89453337120).

Almost surely, 2^{10010000221100} is an apocalyptic number.

10010000221100 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 10010000221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881280545280).

10010000221100 is an abundant number, since it is smaller than the sum of its proper divisors (15752560869460).

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

10010000221100 is a wasteful number, since it uses less digits than its factorization.

10010000221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123961 (or 123954 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010000221100 its reverse (112200001001), we get a palindrome (10122200222101).

The spelling of 10010000221100 in words is "ten trillion, ten billion, two hundred twenty-one thousand, one hundred".