10012002120 has 288 divisors, whose sum is σ = 35818473600. Its totient is φ = 2418501888.

The previous prime is 10012002103. The next prime is 10012002127. The reversal of 10012002120 is 2120021001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10012002127) 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 71 ways as a sum of consecutive naturals, for example, 3616977 + ... + 3619743.

It is an arithmetic number, because the mean of its divisors is an integer number (124369700).

Almost surely, 2^10012002120 is an apocalyptic number.

10012002120 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 10012002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909236800).

10012002120 is an abundant number, since it is smaller than the sum of its proper divisors (25806471480).

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

10012002120 is a wasteful number, since it uses less digits than its factorization.

10012002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10012002120 its reverse (2120021001), we get a palindrome (12132023121).

The spelling of 10012002120 in words is "ten billion, twelve million, two thousand, one hundred twenty".