10113312100122 has 384 divisors, whose sum is σ = 28248080560128. Its totient is φ = 2538926208000.

The previous prime is 10113312100091. The next prime is 10113312100153. The reversal of 10113312100122 is 22100121331101.

10113312100122 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 331 + 210 + 0 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (10113312100091) and next prime (10113312100153).

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

It is a junction number, because it is equal to n+sod(n) for n = 10113312100095 and 10113312100104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2492803518 + ... + 2492807574.

It is an arithmetic number, because the mean of its divisors is an integer number (73562709792).

Almost surely, 2^{10113312100122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113312100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124040280064).

10113312100122 is an abundant number, since it is smaller than the sum of its proper divisors (18134768460006).

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

10113312100122 is a wasteful number, since it uses less digits than its factorization.

10113312100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4551 counting only the distinct ones).

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

Adding to 10113312100122 its reverse (22100121331101), we get a palindrome (32213433431223).

The spelling of 10113312100122 in words is "ten trillion, one hundred thirteen billion, three hundred twelve million, one hundred thousand, one hundred twenty-two".