10213122444 has 96 divisors (see below), whose sum is σ = 28514142720. Its totient is φ = 2783413248.

The previous prime is 10213122433. The next prime is 10213122461. The reversal of 10213122444 is 44422131201.

10213122444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10213122444² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 176932 + ... + 227444.

It is an arithmetic number, because the mean of its divisors is an integer number (297022320).

Almost surely, 2^10213122444 is an apocalyptic number.

10213122444 is a gapful number since it is divisible by the number (14) 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 10213122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257071360).

10213122444 is an abundant number, since it is smaller than the sum of its proper divisors (18301020276).

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

10213122444 is a wasteful number, since it uses less digits than its factorization.

10213122444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50639 (or 50637 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10213122444 its reverse (44422131201), we get a palindrome (54635253645).

The spelling of 10213122444 in words is "ten billion, two hundred thirteen million, one hundred twenty-two thousand, four hundred forty-four".