10210122112120 has 256 divisors, whose sum is σ = 28764263808000. Its totient is φ = 3180344745984.

The previous prime is 10210122112093. The next prime is 10210122112129. The reversal of 10210122112120 is 2121122101201.

10210122112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10210122112094 and 10210122112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210122112129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1157737071 + ... + 1157745889.

It is an arithmetic number, because the mean of its divisors is an integer number (112360405500).

Almost surely, 2^{10210122112120} is an apocalyptic number.

10210122112120 is a gapful number since it is divisible by the number (10) 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 10210122112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382131904000).

10210122112120 is an abundant number, since it is smaller than the sum of its proper divisors (18554141695880).

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

10210122112120 is a wasteful number, since it uses less digits than its factorization.

10210122112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17270 (or 17266 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10210122112120 its reverse (2121122101201), we get a palindrome (12331244213321).

The spelling of 10210122112120 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".