100222102202112 has 108 divisors (see below), whose sum is σ = 315234576276984. Its totient is φ = 30370333992960.

The previous prime is 100222102202063. The next prime is 100222102202113. The reversal of 100222102202112 is 211202201222001.

It is a happy number.

100222102202112 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 210 + 220 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222102202113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1977209943 + ... + 1977260630.

Almost surely, 2^{100222102202112} is an apocalyptic number.

100222102202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222102202112 is an abundant number, since it is smaller than the sum of its proper divisors (215012474074872).

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

100222102202112 is a wasteful number, since it uses less digits than its factorization.

100222102202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954470606 (or 3954470589 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100222102202112 its reverse (211202201222001), we get a palindrome (311424303424113).

The spelling of 100222102202112 in words is "one hundred trillion, two hundred twenty-two billion, one hundred two million, two hundred two thousand, one hundred twelve".