10122120122112 has 180 divisors, whose sum is σ = 30307583543776. Its totient is φ = 3360038215680.

The previous prime is 10122120122029. The next prime is 10122120122159. The reversal of 10122120122112 is 21122102122101.

10122120122112 is a `hidden beast` number, since 10 + 1 + 221 + 201 + 221 + 12 = 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 (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3984633 + ... + 6010119.

Almost surely, 2^{10122120122112} is an apocalyptic number.

10122120122112 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 10122120122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153791771888).

10122120122112 is an abundant number, since it is smaller than the sum of its proper divisors (20185463421664).

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

10122120122112 is an equidigital number, since it uses as much as digits as its factorization.

10122120122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025756 (or 2025733 counting only the distinct ones).

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

Adding to 10122120122112 its reverse (21122102122101), we get a palindrome (31244222244213).

The spelling of 10122120122112 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".