100222102211120 has 40 divisors (see below), whose sum is σ = 235634549316480. Its totient is φ = 39638404467200.

The previous prime is 100222102211071. The next prime is 100222102211123. The reversal of 100222102211120 is 21112201222001.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (100222102211123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7038061856 + ... + 7038076095.

It is an arithmetic number, because the mean of its divisors is an integer number (5890863732912).

Almost surely, 2^{100222102211120} is an apocalyptic number.

100222102211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222102211120 is an abundant number, since it is smaller than the sum of its proper divisors (135412447105360).

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

100222102211120 is a wasteful number, since it uses less digits than its factorization.

100222102211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076138053 (or 14076138047 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100222102211120 its reverse (21112201222001), we get a palindrome (121334303433121).

The spelling of 100222102211120 in words is "one hundred trillion, two hundred twenty-two billion, one hundred two million, two hundred eleven thousand, one hundred twenty".