10123321100112 has 240 divisors, whose sum is σ = 31747965500160. Its totient is φ = 2984213836800.

The previous prime is 10123321100093. The next prime is 10123321100209. The reversal of 10123321100112 is 21100112332101.

10123321100112 is a `hidden beast` number, since 10 + 123 + 321 + 100 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407840662 + ... + 407865482.

It is an arithmetic number, because the mean of its divisors is an integer number (132283189584).

Almost surely, 2^{10123321100112} is an apocalyptic number.

10123321100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123321100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873982750080).

10123321100112 is an abundant number, since it is smaller than the sum of its proper divisors (21624644400048).

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

10123321100112 is a wasteful number, since it uses less digits than its factorization.

10123321100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31842 (or 31833 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10123321100112 its reverse (21100112332101), we get a palindrome (31223433432213).

The spelling of 10123321100112 in words is "ten trillion, one hundred twenty-three billion, three hundred twenty-one million, one hundred thousand, one hundred twelve".