10121022112 has 48 divisors (see below), whose sum is σ = 20371502592. Its totient is φ = 4947539200.

The previous prime is 10121022059. The next prime is 10121022137. The reversal of 10121022112 is 21122012101.

It is a junction number, because it is equal to n+sod(n) for n = 10121022092 and 10121022101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1655862 + ... + 1661962.

It is an arithmetic number, because the mean of its divisors is an integer number (424406304).

Almost surely, 2^10121022112 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 10121022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10185751296).

10121022112 is an abundant number, since it is smaller than the sum of its proper divisors (10250480480).

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

10121022112 is a wasteful number, since it uses less digits than its factorization.

10121022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261 (or 7253 counting only the distinct ones).

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

Adding to 10121022112 its reverse (21122012101), we get a palindrome (31243034213).

The spelling of 10121022112 in words is "ten billion, one hundred twenty-one million, twenty-two thousand, one hundred twelve".