10012122105 has 32 divisors (see below), whose sum is σ = 16890867840. Its totient is φ = 5050252800.

The previous prime is 10012122101. The next prime is 10012122119. The reversal of 10012122105 is 50122121001.

It is not a de Polignac number, because 10012122105 - 2² = 10012122101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10012122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142059 + ... + 200511.

It is an arithmetic number, because the mean of its divisors is an integer number (527839620).

Almost surely, 2^10012122105 is an apocalyptic number.

10012122105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10012122105 is a deficient number, since it is larger than the sum of its proper divisors (6878745735).

10012122105 is a wasteful number, since it uses less digits than its factorization.

10012122105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59081.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10012122105 its reverse (50122121001), we get a palindrome (60134243106).

The spelling of 10012122105 in words is "ten billion, twelve million, one hundred twenty-two thousand, one hundred five".