100111200112110 has 128 divisors (see below), whose sum is σ = 264715118046720. Its totient is φ = 24028123968000.

The previous prime is 100111200112103. The next prime is 100111200112129. The reversal of 100111200112110 is 11211002111001.

It is a Curzon number.

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, 1165273836 + ... + 1165359744.

It is an arithmetic number, because the mean of its divisors is an integer number (2068086859740).

Almost surely, 2^{100111200112110} is an apocalyptic number.

100111200112110 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 100111200112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132357559023360).

100111200112110 is an abundant number, since it is smaller than the sum of its proper divisors (164603917934610).

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

100111200112110 is a wasteful number, since it uses less digits than its factorization.

100111200112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120994.

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

Adding to 100111200112110 its reverse (11211002111001), we get a palindrome (111322202223111).

The spelling of 100111200112110 in words is "one hundred trillion, one hundred eleven billion, two hundred million, one hundred twelve thousand, one hundred ten".