100111100112210 has 128 divisors (see below), whose sum is σ = 266415849722880. Its totient is φ = 23870610604800.

The previous prime is 100111100112193. The next prime is 100111100112217. The reversal of 100111100112210 is 12211001111001.

100111100112210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100111100112217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656222121 + ... + 656374659.

It is an arithmetic number, because the mean of its divisors is an integer number (2081373825960).

Almost surely, 2^{100111100112210} is an apocalyptic number.

100111100112210 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 100111100112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133207924861440).

100111100112210 is an abundant number, since it is smaller than the sum of its proper divisors (166304749610670).

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

100111100112210 is a wasteful number, since it uses less digits than its factorization.

100111100112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185224.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111100112210 its reverse (12211001111001), we get a palindrome (112322101223211).

The spelling of 100111100112210 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred twelve thousand, two hundred ten".