100011100221102 has 144 divisors (see below), whose sum is σ = 235543870961280. Its totient is φ = 27723805286112.

The previous prime is 100011100221089. The next prime is 100011100221163. The reversal of 100011100221102 is 201122001110001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39327997243 + ... + 39327999785.

It is an arithmetic number, because the mean of its divisors is an integer number (1635721326120).

Almost surely, 2^{100011100221102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011100221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117771935480640).

100011100221102 is an abundant number, since it is smaller than the sum of its proper divisors (135532770740178).

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

100011100221102 is an frugal number, since it uses more digits than its factorization.

100011100221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011100221102 its reverse (201122001110001), we get a palindrome (301133101331103).

The spelling of 100011100221102 in words is "one hundred trillion, eleven billion, one hundred million, two hundred twenty-one thousand, one hundred two".