100022098240000 has 800 divisors, whose sum is σ = 276011164154880. Its totient is φ = 36029638656000.

The previous prime is 100022098239991. The next prime is 100022098240007. The reversal of 100022098240000 is 42890220001.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×100022098240000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100022098240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23353277859 + ... + 23353282141.

Almost surely, 2^{100022098240000} is an apocalyptic number.

100022098240000 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 100022098240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138005582077440).

100022098240000 is an abundant number, since it is smaller than the sum of its proper divisors (175989065914880).

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

100022098240000 is an equidigital number, since it uses as much as digits as its factorization.

100022098240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 100022098240000 in words is "one hundred trillion, twenty-two billion, ninety-eight million, two hundred forty thousand".