100010010112110 has 384 divisors, whose sum is σ = 307070666772480. Its totient is φ = 22111116438528.

The previous prime is 100010010112069. The next prime is 100010010112123. The reversal of 100010010112110 is 11211010010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010010112092 and 100010010112101.

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 191 ways as a sum of consecutive naturals, for example, 1785769369 + ... + 1785825371.

It is an arithmetic number, because the mean of its divisors is an integer number (799663194720).

Almost surely, 2^{100010010112110} is an apocalyptic number.

100010010112110 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 100010010112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153535333386240).

100010010112110 is an abundant number, since it is smaller than the sum of its proper divisors (207060656660370).

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

100010010112110 is a wasteful number, since it uses less digits than its factorization.

100010010112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56832 (or 56829 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010010112110 its reverse (11211010010001), we get a palindrome (111221020122111).

The spelling of 100010010112110 in words is "one hundred trillion, ten billion, ten million, one hundred twelve thousand, one hundred ten".