10101200120 has 64 divisors (see below), whose sum is σ = 24937359840. Its totient is φ = 3651904000.

The previous prime is 10101200111. The next prime is 10101200201. The reversal of 10101200120 is 2100210101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10101200098 and 10101200107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9770 + ... + 142470.

Almost surely, 2^10101200120 is an apocalyptic number.

10101200120 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 10101200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12468679920).

10101200120 is an abundant number, since it is smaller than the sum of its proper divisors (14836159720).

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

10101200120 is a wasteful number, since it uses less digits than its factorization.

10101200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132896 (or 132892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101200120 its reverse (2100210101), we get a palindrome (12201410221).

The spelling of 10101200120 in words is "ten billion, one hundred one million, two hundred thousand, one hundred twenty".