100022120000000 has 640 divisors, whose sum is σ = 281349854742528. Its totient is φ = 35193600000000.

The previous prime is 100022119999957. The next prime is 100022120000027. The reversal of 100022120000000 is 21220001.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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, 13639996334 + ... + 13640003666.

Almost surely, 2^{100022120000000} is an apocalyptic number.

100022120000000 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 100022120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140674927371264).

100022120000000 is an abundant number, since it is smaller than the sum of its proper divisors (181327734742528).

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

100022120000000 is an frugal number, since it uses more digits than its factorization.

100022120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100022120000000 its reverse (21220001), we get a palindrome (100022141220001).

The spelling of 100022120000000 in words is "one hundred trillion, twenty-two billion, one hundred twenty million", and thus it is an aban number.