10120122112 has 72 divisors (see below), whose sum is σ = 21571885440. Its totient is φ = 4727869440.

The previous prime is 10120122079. The next prime is 10120122119. The reversal of 10120122112 is 21122102101.

It is a junction number, because it is equal to n+sod(n) for n = 10120122092 and 10120122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120122119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208158 + ... + 252130.

It is an arithmetic number, because the mean of its divisors is an integer number (299609520).

Almost surely, 2^10120122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10785942720).

10120122112 is an abundant number, since it is smaller than the sum of its proper divisors (11451763328).

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

10120122112 is an equidigital number, since it uses as much as digits as its factorization.

10120122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44049 (or 44035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120122112 its reverse (21122102101), we get a palindrome (31242224213).

The spelling of 10120122112 in words is "ten billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".