100001112011220 has 192 divisors, whose sum is σ = 328663457740800. Its totient is φ = 22238874736128.

The previous prime is 100001112011201. The next prime is 100001112011239. The reversal of 100001112011220 is 22110211100001.

It is an interprime number because it is at equal distance from previous prime (100001112011201) and next prime (100001112011239).

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 = 100001112011196 and 100001112011205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545471131 + ... + 545654429.

It is an arithmetic number, because the mean of its divisors is an integer number (1711788842400).

Almost surely, 2^{100001112011220} is an apocalyptic number.

100001112011220 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 100001112011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164331728870400).

100001112011220 is an abundant number, since it is smaller than the sum of its proper divisors (228662345729580).

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

100001112011220 is a wasteful number, since it uses less digits than its factorization.

100001112011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218462 (or 218460 counting only the distinct ones).

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

Adding to 100001112011220 its reverse (22110211100001), we get a palindrome (122111323111221).

The spelling of 100001112011220 in words is "one hundred trillion, one billion, one hundred twelve million, eleven thousand, two hundred twenty".