100110121222110 has 128 divisors (see below), whose sum is σ = 255550994012160. Its totient is φ = 25054014182400.

The previous prime is 100110121222093. The next prime is 100110121222123. The reversal of 100110121222110 is 11222121011001.

It is a happy number.

It is a super-2 number, since 2×100110121222110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100110121222110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4488409 + ... + 14844731.

It is an arithmetic number, because the mean of its divisors is an integer number (1996492140720).

Almost surely, 2^{100110121222110} is an apocalyptic number.

100110121222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110121222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127775497006080).

100110121222110 is an abundant number, since it is smaller than the sum of its proper divisors (155440872790050).

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

100110121222110 is a wasteful number, since it uses less digits than its factorization.

100110121222110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10356674.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100110121222110 its reverse (11222121011001), we get a palindrome (111332242233111).

The spelling of 100110121222110 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred ten".