100011222221202 has 128 divisors (see below), whose sum is σ = 236276411616000. Its totient is φ = 31267708646400.

The previous prime is 100011222221173. The next prime is 100011222221203. The reversal of 100011222221202 is 202122222110001.

It is a happy number.

100011222221202 is a `hidden beast` number, since 10 + 0 + 0 + 11 + 222 + 221 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100011222221203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2467625674 + ... + 2467666202.

It is an arithmetic number, because the mean of its divisors is an integer number (1845909465750).

Almost surely, 2^{100011222221202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011222221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118138205808000).

100011222221202 is an abundant number, since it is smaller than the sum of its proper divisors (136265189394798).

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

100011222221202 is a wasteful number, since it uses less digits than its factorization.

100011222221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64473 (or 64467 counting only the distinct ones).

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

Adding to 100011222221202 its reverse (202122222110001), we get a palindrome (302133444331203).

The spelling of 100011222221202 in words is "one hundred trillion, eleven billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred two".