10121442210 has 64 divisors (see below), whose sum is σ = 29444204160. Its totient is φ = 2453682240.

The previous prime is 10121442181. The next prime is 10121442223. The reversal of 10121442210 is 1224412101.

10121442210 is a `hidden beast` number, since 1 + 0 + 12 + 1 + 442 + 210 = 666.

10121442210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1700977 + ... + 1706916.

It is an arithmetic number, because the mean of its divisors is an integer number (460065690).

Almost surely, 2^10121442210 is an apocalyptic number.

10121442210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121442210 is an abundant number, since it is smaller than the sum of its proper divisors (19322761950).

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

10121442210 is a wasteful number, since it uses less digits than its factorization.

10121442210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407920 (or 3407914 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10121442210 its reverse (1224412101), we get a palindrome (11345854311).

The spelling of 10121442210 in words is "ten billion, one hundred twenty-one million, four hundred forty-two thousand, two hundred ten".