100222112100220 has 48 divisors (see below), whose sum is σ = 229600734856416. Its totient is φ = 36444247712000.

The previous prime is 100222112100217. The next prime is 100222112100233. The reversal of 100222112100220 is 22001211222001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100222112100194 and 100222112100203.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58498590 + ... + 60187450.

It is an arithmetic number, because the mean of its divisors is an integer number (4783348642842).

Almost surely, 2^{100222112100220} is an apocalyptic number.

100222112100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222112100220 is an abundant number, since it is smaller than the sum of its proper divisors (129378622756196).

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

100222112100220 is a wasteful number, since it uses less digits than its factorization.

100222112100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958622 (or 1958620 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222112100220 its reverse (22001211222001), we get a palindrome (122223323322221).

The spelling of 100222112100220 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twelve million, one hundred thousand, two hundred twenty".