100212212220102 has 12 divisors (see below), whose sum is σ = 217126459810260. Its totient is φ = 33404070740028.

The previous prime is 100212212220053. The next prime is 100212212220119. The reversal of 100212212220102 is 201022212212001.

It is a happy number.

100212212220102 is a `hidden beast` number, since 10 + 0 + 212 + 212 + 220 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5567345123339 = 100212212220102 / (1 + 0 + 0 + 2 + 1 + 2 + 2 + 1 + 2 + 2 + 2 + 0 + 1 + 0 + 2).

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 5 ways as a sum of consecutive naturals, for example, 2783672561652 + ... + 2783672561687.

It is an arithmetic number, because the mean of its divisors is an integer number (18093871650855).

Almost surely, 2^{100212212220102} is an apocalyptic number.

100212212220102 is an abundant number, since it is smaller than the sum of its proper divisors (116914247590158).

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

100212212220102 is a wasteful number, since it uses less digits than its factorization.

100212212220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567345123347 (or 5567345123344 counting only the distinct ones).

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

Adding to 100212212220102 its reverse (201022212212001), we get a palindrome (301234424432103).

The spelling of 100212212220102 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, two hundred twenty thousand, one hundred two".