10122122010 has 512 divisors, whose sum is σ = 34488115200. Its totient is φ = 1833431040.

The previous prime is 10122121979. The next prime is 10122122027. The reversal of 10122122010 is 1022122101.

10122122010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 51381232 + ... + 51381428.

It is an arithmetic number, because the mean of its divisors is an integer number (67359600).

Almost surely, 2^10122122010 is an apocalyptic number.

10122122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244057600).

10122122010 is an abundant number, since it is smaller than the sum of its proper divisors (24365993190).

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

10122122010 is a wasteful number, since it uses less digits than its factorization.

10122122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122122010 its reverse (1022122101), we get a palindrome (11144244111).

Subtracting from 10122122010 its reverse (1022122101), we obtain a palindrome (9099999909).

The spelling of 10122122010 in words is "ten billion, one hundred twenty-two million, one hundred twenty-two thousand, ten".