100212222120010 has 320 divisors, whose sum is σ = 246629172625920. Its totient is φ = 28546436160000.

The previous prime is 100212222119897. The next prime is 100212222120011. The reversal of 100212222120010 is 10021222212001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100212222120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1345617075 + ... + 1345691545.

It is an arithmetic number, because the mean of its divisors is an integer number (770716164456).

Almost surely, 2^{100212222120010} is an apocalyptic number.

100212222120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212222120010 is an abundant number, since it is smaller than the sum of its proper divisors (146416950505910).

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

100212222120010 is a wasteful number, since it uses less digits than its factorization.

100212222120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74643 (or 74610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212222120010 its reverse (10021222212001), we get a palindrome (110233444332011).

It can be divided in two parts, 1002122 and 22120010, that added together give a palindrome (23122132).

The spelling of 100212222120010 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twenty thousand, ten".