10012122010 has 72 divisors (see below), whose sum is σ = 20907477108. Its totient is φ = 3449001600.

The previous prime is 10012122007. The next prime is 10012122011. The reversal of 10012122010 is 1022121001.

10012122010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9938694249 + 73427761 = 99693^2 + 8569^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10012122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 425350 + ... + 448270.

Almost surely, 2^10012122010 is an apocalyptic number.

10012122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10012122010 is an abundant number, since it is smaller than the sum of its proper divisors (10895355098).

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

10012122010 is a wasteful number, since it uses less digits than its factorization.

10012122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22988 (or 22958 counting only the distinct ones).

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

Adding to 10012122010 its reverse (1022121001), we get a palindrome (11034243011).

The spelling of 10012122010 in words is "ten billion, twelve million, one hundred twenty-two thousand, ten".