10122210401112 has 144 divisors (see below), whose sum is σ = 28968942951000. Its totient is φ = 3192529704192.

The previous prime is 10122210401111. The next prime is 10122210401117. The reversal of 10122210401112 is 21110401222101.

10122210401112 is a `hidden beast` number, since 10 + 122 + 21 + 0 + 401 + 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 not an unprimeable number, because it can be changed into a prime (10122210401111) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 20786839 + ... + 21268217.

Almost surely, 2^{10122210401112} is an apocalyptic number.

10122210401112 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 10122210401112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484471475500).

10122210401112 is an abundant number, since it is smaller than the sum of its proper divisors (18846732549888).

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

10122210401112 is a wasteful number, since it uses less digits than its factorization.

10122210401112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482238 (or 482212 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10122210401112 its reverse (21110401222101), we get a palindrome (31232611623213).

The spelling of 10122210401112 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, four hundred one thousand, one hundred twelve".