100022112210012 has 12 divisors (see below), whose sum is σ = 233384928490056. Its totient is φ = 33340704070000.

The previous prime is 100022112209989. The next prime is 100022112210017. The reversal of 100022112210012 is 210012211220001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×100022112210012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100022112209973 and 100022112210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022112210017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4167588008739 + ... + 4167588008762.

It is an arithmetic number, because the mean of its divisors is an integer number (19448744040838).

Almost surely, 2^{100022112210012} is an apocalyptic number.

100022112210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022112210012 is an abundant number, since it is smaller than the sum of its proper divisors (133362816280044).

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

100022112210012 is a wasteful number, since it uses less digits than its factorization.

100022112210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335176017508 (or 8335176017506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100022112210012 its reverse (210012211220001), we get a palindrome (310034323430013).

The spelling of 100022112210012 in words is "one hundred trillion, twenty-two billion, one hundred twelve million, two hundred ten thousand, twelve".