100102212102222 has 96 divisors (see below), whose sum is σ = 244964180897280. Its totient is φ = 29264053815360.

The previous prime is 100102212102181. The next prime is 100102212102239. The reversal of 100102212102222 is 222201212201001.

It is a happy number.

100102212102222 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 221 + 210 + 2 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100102212102195 and 100102212102204.

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 47 ways as a sum of consecutive naturals, for example, 104818 + ... + 14149749.

It is an arithmetic number, because the mean of its divisors is an integer number (2551710217680).

Almost surely, 2^{100102212102222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102212102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122482090448640).

100102212102222 is an abundant number, since it is smaller than the sum of its proper divisors (144861968795058).

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

100102212102222 is a wasteful number, since it uses less digits than its factorization.

100102212102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255838 (or 14255835 counting only the distinct ones).

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

Adding to 100102212102222 its reverse (222201212201001), we get a palindrome (322303424303223).

The spelling of 100102212102222 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, one hundred two thousand, two hundred twenty-two".