100222122000012 has 24 divisors (see below), whose sum is σ = 234101192858736. Its totient is φ = 33371720448768.

The previous prime is 100222121999999. The next prime is 100222122000019. The reversal of 100222122000012 is 210000221222001.

It is a junction number, because it is equal to n+sod(n) for n = 100222121999955 and 100222122000000.

It is not an unprimeable number, because it can be changed into a prime (100222122000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4456682193 + ... + 4456704680.

It is an arithmetic number, because the mean of its divisors is an integer number (9754216369114).

Almost surely, 2^{100222122000012} is an apocalyptic number.

100222122000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222122000012 is an abundant number, since it is smaller than the sum of its proper divisors (133879070858724).

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

100222122000012 is a wasteful number, since it uses less digits than its factorization.

100222122000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913387817 (or 8913387815 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100222122000012 its reverse (210000221222001), we get a palindrome (310222343222013).

The spelling of 100222122000012 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-two million, twelve", and thus it is an aban number.