100222210000010 has 128 divisors (see below), whose sum is σ = 210886115328000. Its totient is φ = 34279116325440.

The previous prime is 100222210000001. The next prime is 100222210000019. The reversal of 100222210000010 is 10000012222001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100222210000001) and next prime (100222210000019).

It is a super-2 number, since 2×100222210000010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100222209999946 and 100222210000000.

It is not an unprimeable number, because it can be changed into a prime (100222210000019) 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 63 ways as a sum of consecutive naturals, for example, 6346785215 + ... + 6346801005.

It is an arithmetic number, because the mean of its divisors is an integer number (1647547776000).

Almost surely, 2^{100222210000010} is an apocalyptic number.

100222210000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100222210000010 is an abundant number, since it is smaller than the sum of its proper divisors (110663905327990).

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

100222210000010 is a wasteful number, since it uses less digits than its factorization.

100222210000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20161 (or 20147 counting only the distinct ones).

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

Adding to 100222210000010 its reverse (10000012222001), we get a palindrome (110222222222011).

The spelling of 100222210000010 in words is "one hundred trillion, two hundred twenty-two billion, two hundred ten million, ten", and thus it is an aban number.