10021222100 has 72 divisors (see below), whose sum is σ = 21924638400. Its totient is φ = 3975713280.

The previous prime is 10021222027. The next prime is 10021222103. The reversal of 10021222100 is 122212001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021222103) 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 23 ways as a sum of consecutive naturals, for example, 8616119 + ... + 8617281.

Almost surely, 2^10021222100 is an apocalyptic number.

10021222100 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 10021222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10962319200).

10021222100 is an abundant number, since it is smaller than the sum of its proper divisors (11903416300).

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

10021222100 is a wasteful number, since it uses less digits than its factorization.

10021222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10021222100 its reverse (122212001), we get a palindrome (10143434101).

The spelling of 10021222100 in words is "ten billion, twenty-one million, two hundred twenty-two thousand, one hundred".