100022100220020 has 96 divisors (see below), whose sum is σ = 305552929239936. Its totient is φ = 24245331264000.

The previous prime is 100022100220013. The next prime is 100022100220043. The reversal of 100022100220020 is 20022001220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100022100219978 and 100022100220005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1118539 + ... + 14187858.

It is an arithmetic number, because the mean of its divisors is an integer number (3182843012916).

Almost surely, 2^{100022100220020} is an apocalyptic number.

100022100220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022100220020 is an abundant number, since it is smaller than the sum of its proper divisors (205530829019916).

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

100022100220020 is a wasteful number, since it uses less digits than its factorization.

100022100220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15316321 (or 15316319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022100220020 its reverse (20022001220001), we get a palindrome (120044101440021).

The spelling of 100022100220020 in words is "one hundred trillion, twenty-two billion, one hundred million, two hundred twenty thousand, twenty".