100002101111220 has 384 divisors, whose sum is σ = 361170620375040. Its totient is φ = 20061200517120.

The previous prime is 100002101111197. The next prime is 100002101111251. The reversal of 100002101111220 is 22111101200001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100002101111196 and 100002101111205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1707277854 + ... + 1707336426.

It is an arithmetic number, because the mean of its divisors is an integer number (940548490560).

Almost surely, 2^{100002101111220} is an apocalyptic number.

100002101111220 is a gapful number since it is divisible by the number (10) 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 100002101111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180585310187520).

100002101111220 is an abundant number, since it is smaller than the sum of its proper divisors (261168519263820).

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

100002101111220 is a wasteful number, since it uses less digits than its factorization.

100002101111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71375 (or 71373 counting only the distinct ones).

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

Adding to 100002101111220 its reverse (22111101200001), we get a palindrome (122113202311221).

The spelling of 100002101111220 in words is "one hundred trillion, two billion, one hundred one million, one hundred eleven thousand, two hundred twenty".