10122120010 has 32 divisors (see below), whose sum is σ = 18413926992. Its totient is φ = 4005772800.

The previous prime is 10122119989. The next prime is 10122120053. The reversal of 10122120010 is 1002122101.

10122120010 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 8 ways, for example, as 4612175569 + 5509944441 = 67913^2 + 74229^2 .

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1767672 + ... + 1773388.

Almost surely, 2^10122120010 is an apocalyptic number.

10122120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122120010 is a deficient number, since it is larger than the sum of its proper divisors (8291806982).

10122120010 is a wasteful number, since it uses less digits than its factorization.

10122120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578.

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

Adding to 10122120010 its reverse (1002122101), we get a palindrome (11124242111).

The spelling of 10122120010 in words is "ten billion, one hundred twenty-two million, one hundred twenty thousand, ten".