100212211221122 has 48 divisors (see below), whose sum is σ = 205430027427072. Its totient is φ = 36040355678880.

The previous prime is 100212211221079. The next prime is 100212211221139. The reversal of 100212211221122 is 221122112212001.

It is a junction number, because it is equal to n+sod(n) for n = 100212211221094 and 100212211221103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3575418098 + ... + 3575446125.

It is an arithmetic number, because the mean of its divisors is an integer number (4279792238064).

Almost surely, 2^{100212211221122} is an apocalyptic number.

100212211221122 is an abundant number, since it is smaller than the sum of its proper divisors (105217816205950).

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

100212211221122 is a wasteful number, since it uses less digits than its factorization.

100212211221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150864263 (or 7150864256 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100212211221122 its reverse (221122112212001), we get a palindrome (321334323433123).

The spelling of 100212211221122 in words is "one hundred trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".