10201012120 has 128 divisors (see below), whose sum is σ = 25548747840. Its totient is φ = 3641702400.

The previous prime is 10201012099. The next prime is 10201012121. The reversal of 10201012120 is 2121010201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10201012097 and 10201012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201012121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2256102 + ... + 2260618.

Almost surely, 2^10201012120 is an apocalyptic number.

10201012120 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 10201012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774373920).

10201012120 is an abundant number, since it is smaller than the sum of its proper divisors (15347735720).

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

10201012120 is a wasteful number, since it uses less digits than its factorization.

10201012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201012120 its reverse (2121010201), we get a palindrome (12322022321).

The spelling of 10201012120 in words is "ten billion, two hundred one million, twelve thousand, one hundred twenty".