10202122120112 has 80 divisors (see below), whose sum is σ = 22509748450560. Its totient is φ = 4445638041600.

The previous prime is 10202122120109. The next prime is 10202122120117. The reversal of 10202122120112 is 21102122120201.

It is not an unprimeable number, because it can be changed into a prime (10202122120117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19030937 + ... + 19559672.

It is an arithmetic number, because the mean of its divisors is an integer number (281371855632).

Almost surely, 2^{10202122120112} is an apocalyptic number.

It is an amenable number.

10202122120112 is an abundant number, since it is smaller than the sum of its proper divisors (12307626330448).

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

10202122120112 is a wasteful number, since it uses less digits than its factorization.

10202122120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38590702 (or 38590696 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10202122120112 its reverse (21102122120201), we get a palindrome (31304244240313).

The spelling of 10202122120112 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twelve".