100122011310222 has 96 divisors (see below), whose sum is σ = 237217813088256. Its totient is φ = 30267478137600.

The previous prime is 100122011310221. The next prime is 100122011310247. The reversal of 100122011310222 is 222013110221001.

100122011310222 is a `hidden beast` number, since 1 + 0 + 0 + 122 + 0 + 11 + 310 + 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 = 100122011310195 and 100122011310204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122011310221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248504147 + ... + 1248584337.

It is an arithmetic number, because the mean of its divisors is an integer number (2471018886336).

Almost surely, 2^{100122011310222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122011310222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118608906544128).

100122011310222 is an abundant number, since it is smaller than the sum of its proper divisors (137095801778034).

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

100122011310222 is a wasteful number, since it uses less digits than its factorization.

100122011310222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95206 (or 95203 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100122011310222 its reverse (222013110221001), we get a palindrome (322135121531223).

The spelling of 100122011310222 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, three hundred ten thousand, two hundred twenty-two".