100220102110008 has 128 divisors (see below), whose sum is σ = 282276709708800. Its totient is φ = 32940436209408.

The previous prime is 100220102110001. The next prime is 100220102110069. The reversal of 100220102110008 is 800011201022001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220102110001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59449791 + ... + 61112337.

It is an arithmetic number, because the mean of its divisors is an integer number (2205286794600).

Almost surely, 2^{100220102110008} is an apocalyptic number.

100220102110008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220102110008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141138354854400).

100220102110008 is an abundant number, since it is smaller than the sum of its proper divisors (182056607598792).

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

100220102110008 is a wasteful number, since it uses less digits than its factorization.

100220102110008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666458 (or 1666448 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100220102110008 its reverse (800011201022001), we get a palindrome (900231303132009).

The spelling of 100220102110008 in words is "one hundred trillion, two hundred twenty billion, one hundred two million, one hundred ten thousand, eight".