100222111120000 has 80 divisors (see below), whose sum is σ = 249496681950450. Its totient is φ = 40088844416000.

The previous prime is 100222111119983. The next prime is 100222111120057. The reversal of 100222111120000 is 21111222001.

It can be written as a sum of positive squares in 5 ways, for example, as 37546037824 + 100184565082176 = 193768^2 + 10009224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 9 ways as a sum of consecutive naturals, for example, 626308195 + ... + 626468194.

Almost surely, 2^{100222111120000} is an apocalyptic number.

100222111120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222111120000 is an abundant number, since it is smaller than the sum of its proper divisors (149274570830450).

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

100222111120000 is an frugal number, since it uses more digits than its factorization.

100222111120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252776423 (or 1252776396 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100222111120000 its reverse (21111222001), we get a palindrome (100243222342001).

The spelling of 100222111120000 in words is "one hundred trillion, two hundred twenty-two billion, one hundred eleven million, one hundred twenty thousand".