10212444121 has 32 divisors (see below), whose sum is σ = 11882764800. Its totient is φ = 8679415680.

The previous prime is 10212444103. The next prime is 10212444131. The reversal of 10212444121 is 12144421201.

10212444121 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10212444121 - 2²³ = 10204055513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10212444092 and 10212444101.

It is not an unprimeable number, because it can be changed into a prime (10212444101) by changing a digit.

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, 6998890 + ... + 7000348.

It is an arithmetic number, because the mean of its divisors is an integer number (371336400).

Almost surely, 2^10212444121 is an apocalyptic number.

10212444121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212444121 is a deficient number, since it is larger than the sum of its proper divisors (1670320679).

10212444121 is a wasteful number, since it uses less digits than its factorization.

10212444121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10212444121 its reverse (12144421201), we get a palindrome (22356865322).

The spelling of 10212444121 in words is "ten billion, two hundred twelve million, four hundred forty-four thousand, one hundred twenty-one".