10121142224 has 40 divisors (see below), whose sum is σ = 20734506240. Its totient is φ = 4772694528.

The previous prime is 10121142193. The next prime is 10121142257. The reversal of 10121142224 is 42224112101.

10121142224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10121142196 and 10121142205.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6857 + ... + 142440.

It is an arithmetic number, because the mean of its divisors is an integer number (518362656).

Almost surely, 2^10121142224 is an apocalyptic number.

It is an amenable number.

10121142224 is an abundant number, since it is smaller than the sum of its proper divisors (10613364016).

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

10121142224 is a wasteful number, since it uses less digits than its factorization.

10121142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149547 (or 149541 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10121142224 its reverse (42224112101), we get a palindrome (52345254325).

The spelling of 10121142224 in words is "ten billion, one hundred twenty-one million, one hundred forty-two thousand, two hundred twenty-four".