100011111112110 has 256 divisors, whose sum is σ = 270968453038080. Its totient is φ = 23410664271360.

The previous prime is 100011111112093. The next prime is 100011111112267. The reversal of 100011111112110 is 11211111110001.

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, 4757213059 + ... + 4757234081.

It is an arithmetic number, because the mean of its divisors is an integer number (1058470519680).

Almost surely, 2^{100011111112110} is an apocalyptic number.

100011111112110 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 100011111112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135484226519040).

100011111112110 is an abundant number, since it is smaller than the sum of its proper divisors (170957341925970).

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

100011111112110 is a wasteful number, since it uses less digits than its factorization.

100011111112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24023.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 100011111112110 its reverse (11211111110001), we get a palindrome (111222222222111).

The spelling of 100011111112110 in words is "one hundred trillion, eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred ten".